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Finding the Fourth Proportional to 10,087.50, 15,098.90 and 5,395.78

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Solution

The fourth proportional to 10,087.50, 15,098.90 and 5,395.78 is: 8,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,087.50 : 15,098.90 = 5,395.78 : x
  2. Step 2: Convert to fraction form
    10,087.50/15,098.90 = 5,395.78/x
  3. Step 3: Cross multiply
    10,087.50x = 15,098.90 × 5,395.78
  4. Step 4: Simplify right side
    10,087.50x = 81,470,342.64
  5. Step 5: Solve for x
    x = 81,470,342.64/10,087.50
  6. Step 6: Final answer
    x = 8,076.37

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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.