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Finding the Fourth Proportional to 11,442.08, 15,793.04 and 6,475.68

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Solution

The fourth proportional to 11,442.08, 15,793.04 and 6,475.68 is: 8,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.08 : 15,793.04 = 6,475.68 : x
  2. Step 2: Convert to fraction form
    11,442.08/15,793.04 = 6,475.68/x
  3. Step 3: Cross multiply
    11,442.08x = 15,793.04 × 6,475.68
  4. Step 4: Simplify right side
    11,442.08x = 102,270,673.27
  5. Step 5: Solve for x
    x = 102,270,673.27/11,442.08
  6. Step 6: Final answer
    x = 8,938.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.