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Finding the Fourth Proportional to 7,902.71, 11,854.75 and 2,059.31

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Solution

The fourth proportional to 7,902.71, 11,854.75 and 2,059.31 is: 3,089.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.71 : 11,854.75 = 2,059.31 : x
  2. Step 2: Convert to fraction form
    7,902.71/11,854.75 = 2,059.31/x
  3. Step 3: Cross multiply
    7,902.71x = 11,854.75 × 2,059.31
  4. Step 4: Simplify right side
    7,902.71x = 24,412,629.71
  5. Step 5: Solve for x
    x = 24,412,629.71/7,902.71
  6. Step 6: Final answer
    x = 3,089.15

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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.