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Finding the Fourth Proportional to 10,411.41, 14,367.76 and 5,695.69

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Solution

The fourth proportional to 10,411.41, 14,367.76 and 5,695.69 is: 7,860.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.41 : 14,367.76 = 5,695.69 : x
  2. Step 2: Convert to fraction form
    10,411.41/14,367.76 = 5,695.69/x
  3. Step 3: Cross multiply
    10,411.41x = 14,367.76 × 5,695.69
  4. Step 4: Simplify right side
    10,411.41x = 81,834,306.95
  5. Step 5: Solve for x
    x = 81,834,306.95/10,411.41
  6. Step 6: Final answer
    x = 7,860.06

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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.