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Finding the Fourth Proportional to 10,569.20, 14,585.49 and 5,853.48

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Solution

The fourth proportional to 10,569.20, 14,585.49 and 5,853.48 is: 8,077.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.20 : 14,585.49 = 5,853.48 : x
  2. Step 2: Convert to fraction form
    10,569.20/14,585.49 = 5,853.48/x
  3. Step 3: Cross multiply
    10,569.20x = 14,585.49 × 5,853.48
  4. Step 4: Simplify right side
    10,569.20x = 85,375,874.01
  5. Step 5: Solve for x
    x = 85,375,874.01/10,569.20
  6. Step 6: Final answer
    x = 8,077.80

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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.