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Finding the Fourth Proportional to 7,962, 11,948.13 and 3,345

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Solution

The fourth proportional to 7,962, 11,948.13 and 3,345 is: 5,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962 : 11,948.13 = 3,345 : x
  2. Step 2: Convert to fraction form
    7,962/11,948.13 = 3,345/x
  3. Step 3: Cross multiply
    7,962x = 11,948.13 × 3,345
  4. Step 4: Simplify right side
    7,962x = 39,966,494.85
  5. Step 5: Solve for x
    x = 39,966,494.85/7,962
  6. Step 6: Final answer
    x = 5,019.66

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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.