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Finding the Fourth Proportional to 7,816.62, 11,714.01 and 5,615.04

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Solution

The fourth proportional to 7,816.62, 11,714.01 and 5,615.04 is: 8,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.62 : 11,714.01 = 5,615.04 : x
  2. Step 2: Convert to fraction form
    7,816.62/11,714.01 = 5,615.04/x
  3. Step 3: Cross multiply
    7,816.62x = 11,714.01 × 5,615.04
  4. Step 4: Simplify right side
    7,816.62x = 65,774,634.71
  5. Step 5: Solve for x
    x = 65,774,634.71/7,816.62
  6. Step 6: Final answer
    x = 8,414.72

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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.