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Finding the Fourth Proportional to 6,290.12, 8,660.54 and 5,706.92

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Solution

The fourth proportional to 6,290.12, 8,660.54 and 5,706.92 is: 7,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.12 : 8,660.54 = 5,706.92 : x
  2. Step 2: Convert to fraction form
    6,290.12/8,660.54 = 5,706.92/x
  3. Step 3: Cross multiply
    6,290.12x = 8,660.54 × 5,706.92
  4. Step 4: Simplify right side
    6,290.12x = 49,425,008.94
  5. Step 5: Solve for x
    x = 49,425,008.94/6,290.12
  6. Step 6: Final answer
    x = 7,857.56

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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.