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Finding the Fourth Proportional to 10,389.67, 14,337.20 and 5,913.41

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Solution

The fourth proportional to 10,389.67, 14,337.20 and 5,913.41 is: 8,160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,389.67 : 14,337.20 = 5,913.41 : x
  2. Step 2: Convert to fraction form
    10,389.67/14,337.20 = 5,913.41/x
  3. Step 3: Cross multiply
    10,389.67x = 14,337.20 × 5,913.41
  4. Step 4: Simplify right side
    10,389.67x = 84,781,684.95
  5. Step 5: Solve for x
    x = 84,781,684.95/10,389.67
  6. Step 6: Final answer
    x = 8,160.19

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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.