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Finding the Fourth Proportional to 11,652.70, 17,475.90 and 5,077.30

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Solution

The fourth proportional to 11,652.70, 17,475.90 and 5,077.30 is: 7,614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.70 : 17,475.90 = 5,077.30 : x
  2. Step 2: Convert to fraction form
    11,652.70/17,475.90 = 5,077.30/x
  3. Step 3: Cross multiply
    11,652.70x = 17,475.90 × 5,077.30
  4. Step 4: Simplify right side
    11,652.70x = 88,730,387.07
  5. Step 5: Solve for x
    x = 88,730,387.07/11,652.70
  6. Step 6: Final answer
    x = 7,614.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.