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Finding the Fourth Proportional to 10,408.32, 14,358.02 and 7,052.30

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Solution

The fourth proportional to 10,408.32, 14,358.02 and 7,052.30 is: 9,728.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.32 : 14,358.02 = 7,052.30 : x
  2. Step 2: Convert to fraction form
    10,408.32/14,358.02 = 7,052.30/x
  3. Step 3: Cross multiply
    10,408.32x = 14,358.02 × 7,052.30
  4. Step 4: Simplify right side
    10,408.32x = 101,257,064.45
  5. Step 5: Solve for x
    x = 101,257,064.45/10,408.32
  6. Step 6: Final answer
    x = 9,728.47

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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.