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Finding the Fourth Proportional to 10,411.57, 14,367.98 and 5,695.86

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Solution

The fourth proportional to 10,411.57, 14,367.98 and 5,695.86 is: 7,860.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.57 : 14,367.98 = 5,695.86 : x
  2. Step 2: Convert to fraction form
    10,411.57/14,367.98 = 5,695.86/x
  3. Step 3: Cross multiply
    10,411.57x = 14,367.98 × 5,695.86
  4. Step 4: Simplify right side
    10,411.57x = 81,838,002.56
  5. Step 5: Solve for x
    x = 81,838,002.56/10,411.57
  6. Step 6: Final answer
    x = 7,860.29

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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.