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Finding the Fourth Proportional to 10,693.57, 16,035.76 and 3,674.29

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Solution

The fourth proportional to 10,693.57, 16,035.76 and 3,674.29 is: 5,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.57 : 16,035.76 = 3,674.29 : x
  2. Step 2: Convert to fraction form
    10,693.57/16,035.76 = 3,674.29/x
  3. Step 3: Cross multiply
    10,693.57x = 16,035.76 × 3,674.29
  4. Step 4: Simplify right side
    10,693.57x = 58,920,032.61
  5. Step 5: Solve for x
    x = 58,920,032.61/10,693.57
  6. Step 6: Final answer
    x = 5,509.86

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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.