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Finding the Fourth Proportional to 10,180.64, 15,280.68 and 5,253.68

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Solution

The fourth proportional to 10,180.64, 15,280.68 and 5,253.68 is: 7,885.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180.64 : 15,280.68 = 5,253.68 : x
  2. Step 2: Convert to fraction form
    10,180.64/15,280.68 = 5,253.68/x
  3. Step 3: Cross multiply
    10,180.64x = 15,280.68 × 5,253.68
  4. Step 4: Simplify right side
    10,180.64x = 80,279,802.90
  5. Step 5: Solve for x
    x = 80,279,802.90/10,180.64
  6. Step 6: Final answer
    x = 7,885.54

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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.