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Finding the Fourth Proportional to 8,116.65, 12,177.09 and 2,570.07

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Solution

The fourth proportional to 8,116.65, 12,177.09 and 2,570.07 is: 3,855.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.65 : 12,177.09 = 2,570.07 : x
  2. Step 2: Convert to fraction form
    8,116.65/12,177.09 = 2,570.07/x
  3. Step 3: Cross multiply
    8,116.65x = 12,177.09 × 2,570.07
  4. Step 4: Simplify right side
    8,116.65x = 31,295,973.70
  5. Step 5: Solve for x
    x = 31,295,973.70/8,116.65
  6. Step 6: Final answer
    x = 3,855.77

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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.