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Finding the Fourth Proportional to 11,430.38, 15,775.98 and 6,714.92

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Solution

The fourth proportional to 11,430.38, 15,775.98 and 6,714.92 is: 9,267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.38 : 15,775.98 = 6,714.92 : x
  2. Step 2: Convert to fraction form
    11,430.38/15,775.98 = 6,714.92/x
  3. Step 3: Cross multiply
    11,430.38x = 15,775.98 × 6,714.92
  4. Step 4: Simplify right side
    11,430.38x = 105,934,443.62
  5. Step 5: Solve for x
    x = 105,934,443.62/11,430.38
  6. Step 6: Final answer
    x = 9,267.80

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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.