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Finding the Fourth Proportional to 8,472.48, 12,710.40 and 3,278.40

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Solution

The fourth proportional to 8,472.48, 12,710.40 and 3,278.40 is: 4,918.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.48 : 12,710.40 = 3,278.40 : x
  2. Step 2: Convert to fraction form
    8,472.48/12,710.40 = 3,278.40/x
  3. Step 3: Cross multiply
    8,472.48x = 12,710.40 × 3,278.40
  4. Step 4: Simplify right side
    8,472.48x = 41,669,775.36
  5. Step 5: Solve for x
    x = 41,669,775.36/8,472.48
  6. Step 6: Final answer
    x = 4,918.25

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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.