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Finding the Fourth Proportional to 7,146.88, 10,720.18 and 3,866.40

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Solution

The fourth proportional to 7,146.88, 10,720.18 and 3,866.40 is: 5,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.88 : 10,720.18 = 3,866.40 : x
  2. Step 2: Convert to fraction form
    7,146.88/10,720.18 = 3,866.40/x
  3. Step 3: Cross multiply
    7,146.88x = 10,720.18 × 3,866.40
  4. Step 4: Simplify right side
    7,146.88x = 41,448,503.95
  5. Step 5: Solve for x
    x = 41,448,503.95/7,146.88
  6. Step 6: Final answer
    x = 5,799.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.