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Finding the Fourth Proportional to 10,232.64, 15,348.96 and 3,657.60

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Solution

The fourth proportional to 10,232.64, 15,348.96 and 3,657.60 is: 5,486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.64 : 15,348.96 = 3,657.60 : x
  2. Step 2: Convert to fraction form
    10,232.64/15,348.96 = 3,657.60/x
  3. Step 3: Cross multiply
    10,232.64x = 15,348.96 × 3,657.60
  4. Step 4: Simplify right side
    10,232.64x = 56,140,356.10
  5. Step 5: Solve for x
    x = 56,140,356.10/10,232.64
  6. Step 6: Final answer
    x = 5,486.40

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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.