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Finding the Fourth Proportional to 8,053.46, 12,079.38 and 2,507

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Solution

The fourth proportional to 8,053.46, 12,079.38 and 2,507 is: 3,760.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.46 : 12,079.38 = 2,507 : x
  2. Step 2: Convert to fraction form
    8,053.46/12,079.38 = 2,507/x
  3. Step 3: Cross multiply
    8,053.46x = 12,079.38 × 2,507
  4. Step 4: Simplify right side
    8,053.46x = 30,283,005.66
  5. Step 5: Solve for x
    x = 30,283,005.66/8,053.46
  6. Step 6: Final answer
    x = 3,760.25

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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.