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Finding the Fourth Proportional to 13,250.95, 18,286.35 and 7,945.76

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Solution

The fourth proportional to 13,250.95, 18,286.35 and 7,945.76 is: 10,965.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,250.95 : 18,286.35 = 7,945.76 : x
  2. Step 2: Convert to fraction form
    13,250.95/18,286.35 = 7,945.76/x
  3. Step 3: Cross multiply
    13,250.95x = 18,286.35 × 7,945.76
  4. Step 4: Simplify right side
    13,250.95x = 145,298,948.38
  5. Step 5: Solve for x
    x = 145,298,948.38/13,250.95
  6. Step 6: Final answer
    x = 10,965.17

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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.