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Finding the Fourth Proportional to 10,903.40, 16,355.10 and 9,153.80

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Solution

The fourth proportional to 10,903.40, 16,355.10 and 9,153.80 is: 13,730.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903.40 : 16,355.10 = 9,153.80 : x
  2. Step 2: Convert to fraction form
    10,903.40/16,355.10 = 9,153.80/x
  3. Step 3: Cross multiply
    10,903.40x = 16,355.10 × 9,153.80
  4. Step 4: Simplify right side
    10,903.40x = 149,711,314.38
  5. Step 5: Solve for x
    x = 149,711,314.38/10,903.40
  6. Step 6: Final answer
    x = 13,730.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.