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Finding the Fourth Proportional to 8,218.83, 11,347.14 and 5,700.15

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Solution

The fourth proportional to 8,218.83, 11,347.14 and 5,700.15 is: 7,869.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.83 : 11,347.14 = 5,700.15 : x
  2. Step 2: Convert to fraction form
    8,218.83/11,347.14 = 5,700.15/x
  3. Step 3: Cross multiply
    8,218.83x = 11,347.14 × 5,700.15
  4. Step 4: Simplify right side
    8,218.83x = 64,680,400.07
  5. Step 5: Solve for x
    x = 64,680,400.07/8,218.83
  6. Step 6: Final answer
    x = 7,869.78

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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.