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Finding the Fourth Proportional to 10,098.31, 15,148.02 and 3,858.84

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Solution

The fourth proportional to 10,098.31, 15,148.02 and 3,858.84 is: 5,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.31 : 15,148.02 = 3,858.84 : x
  2. Step 2: Convert to fraction form
    10,098.31/15,148.02 = 3,858.84/x
  3. Step 3: Cross multiply
    10,098.31x = 15,148.02 × 3,858.84
  4. Step 4: Simplify right side
    10,098.31x = 58,453,785.50
  5. Step 5: Solve for x
    x = 58,453,785.50/10,098.31
  6. Step 6: Final answer
    x = 5,788.47

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Why These Related Problems?

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