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Finding the Fourth Proportional to 7,931.52, 11,966.54 and 7,909.65

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Solution

The fourth proportional to 7,931.52, 11,966.54 and 7,909.65 is: 11,933.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,931.52 : 11,966.54 = 7,909.65 : x
  2. Step 2: Convert to fraction form
    7,931.52/11,966.54 = 7,909.65/x
  3. Step 3: Cross multiply
    7,931.52x = 11,966.54 × 7,909.65
  4. Step 4: Simplify right side
    7,931.52x = 94,651,103.56
  5. Step 5: Solve for x
    x = 94,651,103.56/7,931.52
  6. Step 6: Final answer
    x = 11,933.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.