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Finding the Fourth Proportional to 8,177.52, 12,266.34 and 7,779.11

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Solution

The fourth proportional to 8,177.52, 12,266.34 and 7,779.11 is: 11,668.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.52 : 12,266.34 = 7,779.11 : x
  2. Step 2: Convert to fraction form
    8,177.52/12,266.34 = 7,779.11/x
  3. Step 3: Cross multiply
    8,177.52x = 12,266.34 × 7,779.11
  4. Step 4: Simplify right side
    8,177.52x = 95,421,117.65
  5. Step 5: Solve for x
    x = 95,421,117.65/8,177.52
  6. Step 6: Final answer
    x = 11,668.71

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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.