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Finding the Fourth Proportional to 8,535.74, 11,779.92 and 5,178.71

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Solution

The fourth proportional to 8,535.74, 11,779.92 and 5,178.71 is: 7,146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.74 : 11,779.92 = 5,178.71 : x
  2. Step 2: Convert to fraction form
    8,535.74/11,779.92 = 5,178.71/x
  3. Step 3: Cross multiply
    8,535.74x = 11,779.92 × 5,178.71
  4. Step 4: Simplify right side
    8,535.74x = 61,004,789.50
  5. Step 5: Solve for x
    x = 61,004,789.50/8,535.74
  6. Step 6: Final answer
    x = 7,146.98

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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.