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Finding the Fourth Proportional to 7,966.74, 11,951.63 and 3,807.08

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Solution

The fourth proportional to 7,966.74, 11,951.63 and 3,807.08 is: 5,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.74 : 11,951.63 = 3,807.08 : x
  2. Step 2: Convert to fraction form
    7,966.74/11,951.63 = 3,807.08/x
  3. Step 3: Cross multiply
    7,966.74x = 11,951.63 × 3,807.08
  4. Step 4: Simplify right side
    7,966.74x = 45,500,811.54
  5. Step 5: Solve for x
    x = 45,500,811.54/7,966.74
  6. Step 6: Final answer
    x = 5,711.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.