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Finding the Fourth Proportional to 7,610.30, 10,502.25 and 4,253.17

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Solution

The fourth proportional to 7,610.30, 10,502.25 and 4,253.17 is: 5,869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.30 : 10,502.25 = 4,253.17 : x
  2. Step 2: Convert to fraction form
    7,610.30/10,502.25 = 4,253.17/x
  3. Step 3: Cross multiply
    7,610.30x = 10,502.25 × 4,253.17
  4. Step 4: Simplify right side
    7,610.30x = 44,667,823.06
  5. Step 5: Solve for x
    x = 44,667,823.06/7,610.30
  6. Step 6: Final answer
    x = 5,869.39

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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.