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Finding the Fourth Proportional to 10,549.60, 15,824.72 and 3,624

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Solution

The fourth proportional to 10,549.60, 15,824.72 and 3,624 is: 5,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.60 : 15,824.72 = 3,624 : x
  2. Step 2: Convert to fraction form
    10,549.60/15,824.72 = 3,624/x
  3. Step 3: Cross multiply
    10,549.60x = 15,824.72 × 3,624
  4. Step 4: Simplify right side
    10,549.60x = 57,348,785.28
  5. Step 5: Solve for x
    x = 57,348,785.28/10,549.60
  6. Step 6: Final answer
    x = 5,436.11

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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.