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Finding the Fourth Proportional to 10,043.18, 13,859.66 and 5,567

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Solution

The fourth proportional to 10,043.18, 13,859.66 and 5,567 is: 7,682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043.18 : 13,859.66 = 5,567 : x
  2. Step 2: Convert to fraction form
    10,043.18/13,859.66 = 5,567/x
  3. Step 3: Cross multiply
    10,043.18x = 13,859.66 × 5,567
  4. Step 4: Simplify right side
    10,043.18x = 77,156,727.22
  5. Step 5: Solve for x
    x = 77,156,727.22/10,043.18
  6. Step 6: Final answer
    x = 7,682.50

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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.