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Finding the Fourth Proportional to 11,234, 15,508.68 and 7,046.48

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Solution

The fourth proportional to 11,234, 15,508.68 and 7,046.48 is: 9,727.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234 : 15,508.68 = 7,046.48 : x
  2. Step 2: Convert to fraction form
    11,234/15,508.68 = 7,046.48/x
  3. Step 3: Cross multiply
    11,234x = 15,508.68 × 7,046.48
  4. Step 4: Simplify right side
    11,234x = 109,281,603.45
  5. Step 5: Solve for x
    x = 109,281,603.45/11,234
  6. Step 6: Final answer
    x = 9,727.76

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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.