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Finding the Fourth Proportional to 7,966.10, 11,952.36 and 3,585.62

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Solution

The fourth proportional to 7,966.10, 11,952.36 and 3,585.62 is: 5,379.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.10 : 11,952.36 = 3,585.62 : x
  2. Step 2: Convert to fraction form
    7,966.10/11,952.36 = 3,585.62/x
  3. Step 3: Cross multiply
    7,966.10x = 11,952.36 × 3,585.62
  4. Step 4: Simplify right side
    7,966.10x = 42,856,621.06
  5. Step 5: Solve for x
    x = 42,856,621.06/7,966.10
  6. Step 6: Final answer
    x = 5,379.87

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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.