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Finding the Fourth Proportional to 10,569, 14,585.66 and 5,853.29

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Solution

The fourth proportional to 10,569, 14,585.66 and 5,853.29 is: 8,077.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569 : 14,585.66 = 5,853.29 : x
  2. Step 2: Convert to fraction form
    10,569/14,585.66 = 5,853.29/x
  3. Step 3: Cross multiply
    10,569x = 14,585.66 × 5,853.29
  4. Step 4: Simplify right side
    10,569x = 85,374,097.82
  5. Step 5: Solve for x
    x = 85,374,097.82/10,569
  6. Step 6: Final answer
    x = 8,077.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.