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Finding the Fourth Proportional to 8,154.97, 12,238.56 and 3,775.50

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Solution

The fourth proportional to 8,154.97, 12,238.56 and 3,775.50 is: 5,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.97 : 12,238.56 = 3,775.50 : x
  2. Step 2: Convert to fraction form
    8,154.97/12,238.56 = 3,775.50/x
  3. Step 3: Cross multiply
    8,154.97x = 12,238.56 × 3,775.50
  4. Step 4: Simplify right side
    8,154.97x = 46,206,683.28
  5. Step 5: Solve for x
    x = 46,206,683.28/8,154.97
  6. Step 6: Final answer
    x = 5,666.08

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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.