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Finding the Fourth Proportional to 10,514.16, 15,780.96 and 5,323.68

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Solution

The fourth proportional to 10,514.16, 15,780.96 and 5,323.68 is: 7,990.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.16 : 15,780.96 = 5,323.68 : x
  2. Step 2: Convert to fraction form
    10,514.16/15,780.96 = 5,323.68/x
  3. Step 3: Cross multiply
    10,514.16x = 15,780.96 × 5,323.68
  4. Step 4: Simplify right side
    10,514.16x = 84,012,781.13
  5. Step 5: Solve for x
    x = 84,012,781.13/10,514.16
  6. Step 6: Final answer
    x = 7,990.44

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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.