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Finding the Fourth Proportional to 7,717.38, 10,655.47 and 4,734.17

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Solution

The fourth proportional to 7,717.38, 10,655.47 and 4,734.17 is: 6,536.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.38 : 10,655.47 = 4,734.17 : x
  2. Step 2: Convert to fraction form
    7,717.38/10,655.47 = 4,734.17/x
  3. Step 3: Cross multiply
    7,717.38x = 10,655.47 × 4,734.17
  4. Step 4: Simplify right side
    7,717.38x = 50,444,842.29
  5. Step 5: Solve for x
    x = 50,444,842.29/7,717.38
  6. Step 6: Final answer
    x = 6,536.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.