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Finding the Fourth Proportional to 10,761.20, 14,849.64 and 6,044.57

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Solution

The fourth proportional to 10,761.20, 14,849.64 and 6,044.57 is: 8,341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.20 : 14,849.64 = 6,044.57 : x
  2. Step 2: Convert to fraction form
    10,761.20/14,849.64 = 6,044.57/x
  3. Step 3: Cross multiply
    10,761.20x = 14,849.64 × 6,044.57
  4. Step 4: Simplify right side
    10,761.20x = 89,759,688.45
  5. Step 5: Solve for x
    x = 89,759,688.45/10,761.20
  6. Step 6: Final answer
    x = 8,341.05

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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.