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Finding the Fourth Proportional to 10,258.56, 15,385.92 and 6,386.88

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Solution

The fourth proportional to 10,258.56, 15,385.92 and 6,386.88 is: 9,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.56 : 15,385.92 = 6,386.88 : x
  2. Step 2: Convert to fraction form
    10,258.56/15,385.92 = 6,386.88/x
  3. Step 3: Cross multiply
    10,258.56x = 15,385.92 × 6,386.88
  4. Step 4: Simplify right side
    10,258.56x = 98,268,024.73
  5. Step 5: Solve for x
    x = 98,268,024.73/10,258.56
  6. Step 6: Final answer
    x = 9,579.12

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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.