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Finding the Fourth Proportional to 10,573.02, 15,862.29 and 3,177.30

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Solution

The fourth proportional to 10,573.02, 15,862.29 and 3,177.30 is: 4,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.02 : 15,862.29 = 3,177.30 : x
  2. Step 2: Convert to fraction form
    10,573.02/15,862.29 = 3,177.30/x
  3. Step 3: Cross multiply
    10,573.02x = 15,862.29 × 3,177.30
  4. Step 4: Simplify right side
    10,573.02x = 50,399,254.02
  5. Step 5: Solve for x
    x = 50,399,254.02/10,573.02
  6. Step 6: Final answer
    x = 4,766.78

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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.