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Finding the Fourth Proportional to 10,873.47, 16,284.15 and 9,304.50

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Solution

The fourth proportional to 10,873.47, 16,284.15 and 9,304.50 is: 13,934.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.47 : 16,284.15 = 9,304.50 : x
  2. Step 2: Convert to fraction form
    10,873.47/16,284.15 = 9,304.50/x
  3. Step 3: Cross multiply
    10,873.47x = 16,284.15 × 9,304.50
  4. Step 4: Simplify right side
    10,873.47x = 151,515,873.68
  5. Step 5: Solve for x
    x = 151,515,873.68/10,873.47
  6. Step 6: Final answer
    x = 13,934.45

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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.