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Finding the Fourth Proportional to 10,411.48, 14,367.86 and 5,695.76

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Solution

The fourth proportional to 10,411.48, 14,367.86 and 5,695.76 is: 7,860.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.48 : 14,367.86 = 5,695.76 : x
  2. Step 2: Convert to fraction form
    10,411.48/14,367.86 = 5,695.76/x
  3. Step 3: Cross multiply
    10,411.48x = 14,367.86 × 5,695.76
  4. Step 4: Simplify right side
    10,411.48x = 81,835,882.27
  5. Step 5: Solve for x
    x = 81,835,882.27/10,411.48
  6. Step 6: Final answer
    x = 7,860.16

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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.