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Finding the Fourth Proportional to 12,478.38, 17,217.56 and 7,303.29

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Solution

The fourth proportional to 12,478.38, 17,217.56 and 7,303.29 is: 10,077.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.38 : 17,217.56 = 7,303.29 : x
  2. Step 2: Convert to fraction form
    12,478.38/17,217.56 = 7,303.29/x
  3. Step 3: Cross multiply
    12,478.38x = 17,217.56 × 7,303.29
  4. Step 4: Simplify right side
    12,478.38x = 125,744,833.77
  5. Step 5: Solve for x
    x = 125,744,833.77/12,478.38
  6. Step 6: Final answer
    x = 10,077.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.