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Finding the Fourth Proportional to 8,307.41, 12,459 and 2,462.66

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Solution

The fourth proportional to 8,307.41, 12,459 and 2,462.66 is: 3,693.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.41 : 12,459 = 2,462.66 : x
  2. Step 2: Convert to fraction form
    8,307.41/12,459 = 2,462.66/x
  3. Step 3: Cross multiply
    8,307.41x = 12,459 × 2,462.66
  4. Step 4: Simplify right side
    8,307.41x = 30,682,218.65
  5. Step 5: Solve for x
    x = 30,682,218.65/8,307.41
  6. Step 6: Final answer
    x = 3,693.36

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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.