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Finding the Fourth Proportional to 10,104.66, 13,943.72 and 5,567.15

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Solution

The fourth proportional to 10,104.66, 13,943.72 and 5,567.15 is: 7,682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.66 : 13,943.72 = 5,567.15 : x
  2. Step 2: Convert to fraction form
    10,104.66/13,943.72 = 5,567.15/x
  3. Step 3: Cross multiply
    10,104.66x = 13,943.72 × 5,567.15
  4. Step 4: Simplify right side
    10,104.66x = 77,626,697.16
  5. Step 5: Solve for x
    x = 77,626,697.16/10,104.66
  6. Step 6: Final answer
    x = 7,682.27

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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.