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Finding the Fourth Proportional to 10,257.60, 15,386.04 and 3,237.60

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Solution

The fourth proportional to 10,257.60, 15,386.04 and 3,237.60 is: 4,856.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.60 : 15,386.04 = 3,237.60 : x
  2. Step 2: Convert to fraction form
    10,257.60/15,386.04 = 3,237.60/x
  3. Step 3: Cross multiply
    10,257.60x = 15,386.04 × 3,237.60
  4. Step 4: Simplify right side
    10,257.60x = 49,813,843.10
  5. Step 5: Solve for x
    x = 49,813,843.10/10,257.60
  6. Step 6: Final answer
    x = 4,856.29

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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.