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Finding the Fourth Proportional to 10,000,408.48, 13,800,564.24 and 5,416,731.28

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Solution

The fourth proportional to 10,000,408.48, 13,800,564.24 and 5,416,731.28 is: 7,475,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000,408.48 : 13,800,564.24 = 5,416,731.28 : x
  2. Step 2: Convert to fraction form
    10,000,408.48/13,800,564.24 = 5,416,731.28/x
  3. Step 3: Cross multiply
    10,000,408.48x = 13,800,564.24 × 5,416,731.28
  4. Step 4: Simplify right side
    10,000,408.48x = 74,753,948,000,457.44
  5. Step 5: Solve for x
    x = 74,753,948,000,457.44/10,000,408.48
  6. Step 6: Final answer
    x = 7,475,089.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.