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Finding the Fourth Proportional to 10,042.76, 13,859.83 and 5,567.91

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Solution

The fourth proportional to 10,042.76, 13,859.83 and 5,567.91 is: 7,684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.76 : 13,859.83 = 5,567.91 : x
  2. Step 2: Convert to fraction form
    10,042.76/13,859.83 = 5,567.91/x
  3. Step 3: Cross multiply
    10,042.76x = 13,859.83 × 5,567.91
  4. Step 4: Simplify right side
    10,042.76x = 77,170,293.02
  5. Step 5: Solve for x
    x = 77,170,293.02/10,042.76
  6. Step 6: Final answer
    x = 7,684.18

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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.