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Finding the Fourth Proportional to 10,442.76, 15,667.74 and 6,542.52

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Solution

The fourth proportional to 10,442.76, 15,667.74 and 6,542.52 is: 9,816.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.76 : 15,667.74 = 6,542.52 : x
  2. Step 2: Convert to fraction form
    10,442.76/15,667.74 = 6,542.52/x
  3. Step 3: Cross multiply
    10,442.76x = 15,667.74 × 6,542.52
  4. Step 4: Simplify right side
    10,442.76x = 102,506,502.30
  5. Step 5: Solve for x
    x = 102,506,502.30/10,442.76
  6. Step 6: Final answer
    x = 9,816.04

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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.