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Finding the Fourth Proportional to 10,611.64, 15,924.14 and 5,934.71

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Solution

The fourth proportional to 10,611.64, 15,924.14 and 5,934.71 is: 8,905.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.64 : 15,924.14 = 5,934.71 : x
  2. Step 2: Convert to fraction form
    10,611.64/15,924.14 = 5,934.71/x
  3. Step 3: Cross multiply
    10,611.64x = 15,924.14 × 5,934.71
  4. Step 4: Simplify right side
    10,611.64x = 94,505,043.61
  5. Step 5: Solve for x
    x = 94,505,043.61/10,611.64
  6. Step 6: Final answer
    x = 8,905.79

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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.