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Finding the Fourth Proportional to 10,077.84, 15,101.19 and 5,398.47

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Solution

The fourth proportional to 10,077.84, 15,101.19 and 5,398.47 is: 8,089.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.84 : 15,101.19 = 5,398.47 : x
  2. Step 2: Convert to fraction form
    10,077.84/15,101.19 = 5,398.47/x
  3. Step 3: Cross multiply
    10,077.84x = 15,101.19 × 5,398.47
  4. Step 4: Simplify right side
    10,077.84x = 81,523,321.18
  5. Step 5: Solve for x
    x = 81,523,321.18/10,077.84
  6. Step 6: Final answer
    x = 8,089.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.