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Finding the Fourth Proportional to 7,655.82, 11,482.92 and 3,748.38

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Solution

The fourth proportional to 7,655.82, 11,482.92 and 3,748.38 is: 5,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.82 : 11,482.92 = 3,748.38 : x
  2. Step 2: Convert to fraction form
    7,655.82/11,482.92 = 3,748.38/x
  3. Step 3: Cross multiply
    7,655.82x = 11,482.92 × 3,748.38
  4. Step 4: Simplify right side
    7,655.82x = 43,042,347.67
  5. Step 5: Solve for x
    x = 43,042,347.67/7,655.82
  6. Step 6: Final answer
    x = 5,622.17

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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.