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Finding the Fourth Proportional to 8,486.71, 12,795.20 and 7,915

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Solution

The fourth proportional to 8,486.71, 12,795.20 and 7,915 is: 11,933.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.71 : 12,795.20 = 7,915 : x
  2. Step 2: Convert to fraction form
    8,486.71/12,795.20 = 7,915/x
  3. Step 3: Cross multiply
    8,486.71x = 12,795.20 × 7,915
  4. Step 4: Simplify right side
    8,486.71x = 101,274,008
  5. Step 5: Solve for x
    x = 101,274,008/8,486.71
  6. Step 6: Final answer
    x = 11,933.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.