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Finding the Fourth Proportional to 10,258.61, 15,387.17 and 3,238.88

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Solution

The fourth proportional to 10,258.61, 15,387.17 and 3,238.88 is: 4,858.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.61 : 15,387.17 = 3,238.88 : x
  2. Step 2: Convert to fraction form
    10,258.61/15,387.17 = 3,238.88/x
  3. Step 3: Cross multiply
    10,258.61x = 15,387.17 × 3,238.88
  4. Step 4: Simplify right side
    10,258.61x = 49,837,104.04
  5. Step 5: Solve for x
    x = 49,837,104.04/10,258.61
  6. Step 6: Final answer
    x = 4,858.08

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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.