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Finding the Fourth Proportional to 11,257.59, 15,521.04 and 7,714.65

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Solution

The fourth proportional to 11,257.59, 15,521.04 and 7,714.65 is: 10,636.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,257.59 : 15,521.04 = 7,714.65 : x
  2. Step 2: Convert to fraction form
    11,257.59/15,521.04 = 7,714.65/x
  3. Step 3: Cross multiply
    11,257.59x = 15,521.04 × 7,714.65
  4. Step 4: Simplify right side
    11,257.59x = 119,739,391.24
  5. Step 5: Solve for x
    x = 119,739,391.24/11,257.59
  6. Step 6: Final answer
    x = 10,636.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.