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Finding the Fourth Proportional to 10,937.34, 16,407.09 and 4,362.12

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Solution

The fourth proportional to 10,937.34, 16,407.09 and 4,362.12 is: 6,543.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.34 : 16,407.09 = 4,362.12 : x
  2. Step 2: Convert to fraction form
    10,937.34/16,407.09 = 4,362.12/x
  3. Step 3: Cross multiply
    10,937.34x = 16,407.09 × 4,362.12
  4. Step 4: Simplify right side
    10,937.34x = 71,569,695.43
  5. Step 5: Solve for x
    x = 71,569,695.43/10,937.34
  6. Step 6: Final answer
    x = 6,543.61

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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.