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Finding the Fourth Proportional to 10,732.34, 16,097.14 and 4,154.02

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Solution

The fourth proportional to 10,732.34, 16,097.14 and 4,154.02 is: 6,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.34 : 16,097.14 = 4,154.02 : x
  2. Step 2: Convert to fraction form
    10,732.34/16,097.14 = 4,154.02/x
  3. Step 3: Cross multiply
    10,732.34x = 16,097.14 × 4,154.02
  4. Step 4: Simplify right side
    10,732.34x = 66,867,820.73
  5. Step 5: Solve for x
    x = 66,867,820.73/10,732.34
  6. Step 6: Final answer
    x = 6,230.50

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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.