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Finding the Fourth Proportional to 7,911.46, 11,866.17 and 3,527.91

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Solution

The fourth proportional to 7,911.46, 11,866.17 and 3,527.91 is: 5,291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.46 : 11,866.17 = 3,527.91 : x
  2. Step 2: Convert to fraction form
    7,911.46/11,866.17 = 3,527.91/x
  3. Step 3: Cross multiply
    7,911.46x = 11,866.17 × 3,527.91
  4. Step 4: Simplify right side
    7,911.46x = 41,862,779.80
  5. Step 5: Solve for x
    x = 41,862,779.80/7,911.46
  6. Step 6: Final answer
    x = 5,291.41

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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.