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Finding the Fourth Proportional to 10,211.52, 15,287.54 and 7,590.66

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Solution

The fourth proportional to 10,211.52, 15,287.54 and 7,590.66 is: 11,363.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,211.52 : 15,287.54 = 7,590.66 : x
  2. Step 2: Convert to fraction form
    10,211.52/15,287.54 = 7,590.66/x
  3. Step 3: Cross multiply
    10,211.52x = 15,287.54 × 7,590.66
  4. Step 4: Simplify right side
    10,211.52x = 116,042,518.38
  5. Step 5: Solve for x
    x = 116,042,518.38/10,211.52
  6. Step 6: Final answer
    x = 11,363.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.