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Finding the Fourth Proportional to 7,413, 11,109.92 and 5,549.52

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Solution

The fourth proportional to 7,413, 11,109.92 and 5,549.52 is: 8,317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413 : 11,109.92 = 5,549.52 : x
  2. Step 2: Convert to fraction form
    7,413/11,109.92 = 5,549.52/x
  3. Step 3: Cross multiply
    7,413x = 11,109.92 × 5,549.52
  4. Step 4: Simplify right side
    7,413x = 61,654,723.24
  5. Step 5: Solve for x
    x = 61,654,723.24/7,413
  6. Step 6: Final answer
    x = 8,317.11

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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.