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Finding the Fourth Proportional to 10,866.50, 16,293.59 and 9,937.70

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Solution

The fourth proportional to 10,866.50, 16,293.59 and 9,937.70 is: 14,900.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.50 : 16,293.59 = 9,937.70 : x
  2. Step 2: Convert to fraction form
    10,866.50/16,293.59 = 9,937.70/x
  3. Step 3: Cross multiply
    10,866.50x = 16,293.59 × 9,937.70
  4. Step 4: Simplify right side
    10,866.50x = 161,920,874.92
  5. Step 5: Solve for x
    x = 161,920,874.92/10,866.50
  6. Step 6: Final answer
    x = 14,900.93

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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.