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Finding the Fourth Proportional to 8,549.70, 12,824.56 and 3,552

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Solution

The fourth proportional to 8,549.70, 12,824.56 and 3,552 is: 5,328.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.70 : 12,824.56 = 3,552 : x
  2. Step 2: Convert to fraction form
    8,549.70/12,824.56 = 3,552/x
  3. Step 3: Cross multiply
    8,549.70x = 12,824.56 × 3,552
  4. Step 4: Simplify right side
    8,549.70x = 45,552,837.12
  5. Step 5: Solve for x
    x = 45,552,837.12/8,549.70
  6. Step 6: Final answer
    x = 5,328.00

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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.