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Finding the Fourth Proportional to 10,765.71, 16,148.54 and 2,974.50

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Solution

The fourth proportional to 10,765.71, 16,148.54 and 2,974.50 is: 4,461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.71 : 16,148.54 = 2,974.50 : x
  2. Step 2: Convert to fraction form
    10,765.71/16,148.54 = 2,974.50/x
  3. Step 3: Cross multiply
    10,765.71x = 16,148.54 × 2,974.50
  4. Step 4: Simplify right side
    10,765.71x = 48,033,839.67
  5. Step 5: Solve for x
    x = 48,033,839.67/10,765.71
  6. Step 6: Final answer
    x = 4,461.74

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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.