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Finding the Fourth Proportional to 10,900.20, 15,042.77 and 6,424.14

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Solution

The fourth proportional to 10,900.20, 15,042.77 and 6,424.14 is: 8,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.20 : 15,042.77 = 6,424.14 : x
  2. Step 2: Convert to fraction form
    10,900.20/15,042.77 = 6,424.14/x
  3. Step 3: Cross multiply
    10,900.20x = 15,042.77 × 6,424.14
  4. Step 4: Simplify right side
    10,900.20x = 96,636,860.47
  5. Step 5: Solve for x
    x = 96,636,860.47/10,900.20
  6. Step 6: Final answer
    x = 8,865.60

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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.