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Finding the Fourth Proportional to 7,655.80, 11,482.44 and 2,461

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Solution

The fourth proportional to 7,655.80, 11,482.44 and 2,461 is: 3,691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.80 : 11,482.44 = 2,461 : x
  2. Step 2: Convert to fraction form
    7,655.80/11,482.44 = 2,461/x
  3. Step 3: Cross multiply
    7,655.80x = 11,482.44 × 2,461
  4. Step 4: Simplify right side
    7,655.80x = 28,258,284.84
  5. Step 5: Solve for x
    x = 28,258,284.84/7,655.80
  6. Step 6: Final answer
    x = 3,691.09

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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.