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Finding the Fourth Proportional to 7,610.70, 11,417.88 and 2,613

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Solution

The fourth proportional to 7,610.70, 11,417.88 and 2,613 is: 3,920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.70 : 11,417.88 = 2,613 : x
  2. Step 2: Convert to fraction form
    7,610.70/11,417.88 = 2,613/x
  3. Step 3: Cross multiply
    7,610.70x = 11,417.88 × 2,613
  4. Step 4: Simplify right side
    7,610.70x = 29,834,920.44
  5. Step 5: Solve for x
    x = 29,834,920.44/7,610.70
  6. Step 6: Final answer
    x = 3,920.13

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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.