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Finding the Fourth Proportional to 10,042.57, 13,859.57 and 5,567.72

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Solution

The fourth proportional to 10,042.57, 13,859.57 and 5,567.72 is: 7,683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.57 : 13,859.57 = 5,567.72 : x
  2. Step 2: Convert to fraction form
    10,042.57/13,859.57 = 5,567.72/x
  3. Step 3: Cross multiply
    10,042.57x = 13,859.57 × 5,567.72
  4. Step 4: Simplify right side
    10,042.57x = 77,166,253.65
  5. Step 5: Solve for x
    x = 77,166,253.65/10,042.57
  6. Step 6: Final answer
    x = 7,683.92

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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.