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Finding the Fourth Proportional to 7,655.26, 11,482.80 and 2,461

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Solution

The fourth proportional to 7,655.26, 11,482.80 and 2,461 is: 3,691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.26 : 11,482.80 = 2,461 : x
  2. Step 2: Convert to fraction form
    7,655.26/11,482.80 = 2,461/x
  3. Step 3: Cross multiply
    7,655.26x = 11,482.80 × 2,461
  4. Step 4: Simplify right side
    7,655.26x = 28,259,170.80
  5. Step 5: Solve for x
    x = 28,259,170.80/7,655.26
  6. Step 6: Final answer
    x = 3,691.47

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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.