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Finding the Fourth Proportional to 10,761.69, 14,849.58 and 5,981.31

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Solution

The fourth proportional to 10,761.69, 14,849.58 and 5,981.31 is: 8,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.69 : 14,849.58 = 5,981.31 : x
  2. Step 2: Convert to fraction form
    10,761.69/14,849.58 = 5,981.31/x
  3. Step 3: Cross multiply
    10,761.69x = 14,849.58 × 5,981.31
  4. Step 4: Simplify right side
    10,761.69x = 88,819,941.35
  5. Step 5: Solve for x
    x = 88,819,941.35/10,761.69
  6. Step 6: Final answer
    x = 8,253.35

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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.