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Finding the Fourth Proportional to 8,472.48, 12,677.04 and 8,028

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Solution

The fourth proportional to 8,472.48, 12,677.04 and 8,028 is: 12,011.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.48 : 12,677.04 = 8,028 : x
  2. Step 2: Convert to fraction form
    8,472.48/12,677.04 = 8,028/x
  3. Step 3: Cross multiply
    8,472.48x = 12,677.04 × 8,028
  4. Step 4: Simplify right side
    8,472.48x = 101,771,277.12
  5. Step 5: Solve for x
    x = 101,771,277.12/8,472.48
  6. Step 6: Final answer
    x = 12,011.98

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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.