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Finding the Fourth Proportional to 10,451.36, 14,421.60 and 7,652

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Solution

The fourth proportional to 10,451.36, 14,421.60 and 7,652 is: 10,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.36 : 14,421.60 = 7,652 : x
  2. Step 2: Convert to fraction form
    10,451.36/14,421.60 = 7,652/x
  3. Step 3: Cross multiply
    10,451.36x = 14,421.60 × 7,652
  4. Step 4: Simplify right side
    10,451.36x = 110,354,083.20
  5. Step 5: Solve for x
    x = 110,354,083.20/10,451.36
  6. Step 6: Final answer
    x = 10,558.83

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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.