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Finding the Fourth Proportional to 7,866.97, 11,801.19 and 2,602

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Solution

The fourth proportional to 7,866.97, 11,801.19 and 2,602 is: 3,903.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.97 : 11,801.19 = 2,602 : x
  2. Step 2: Convert to fraction form
    7,866.97/11,801.19 = 2,602/x
  3. Step 3: Cross multiply
    7,866.97x = 11,801.19 × 2,602
  4. Step 4: Simplify right side
    7,866.97x = 30,706,696.38
  5. Step 5: Solve for x
    x = 30,706,696.38/7,866.97
  6. Step 6: Final answer
    x = 3,903.24

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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.