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Finding the Fourth Proportional to 10,652.48, 15,981.12 and 3,257.60

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Solution

The fourth proportional to 10,652.48, 15,981.12 and 3,257.60 is: 4,887.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.48 : 15,981.12 = 3,257.60 : x
  2. Step 2: Convert to fraction form
    10,652.48/15,981.12 = 3,257.60/x
  3. Step 3: Cross multiply
    10,652.48x = 15,981.12 × 3,257.60
  4. Step 4: Simplify right side
    10,652.48x = 52,060,096.51
  5. Step 5: Solve for x
    x = 52,060,096.51/10,652.48
  6. Step 6: Final answer
    x = 4,887.13

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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.