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Finding the Fourth Proportional to 10,486.17, 15,719.90 and 3,912.66

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Solution

The fourth proportional to 10,486.17, 15,719.90 and 3,912.66 is: 5,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.17 : 15,719.90 = 3,912.66 : x
  2. Step 2: Convert to fraction form
    10,486.17/15,719.90 = 3,912.66/x
  3. Step 3: Cross multiply
    10,486.17x = 15,719.90 × 3,912.66
  4. Step 4: Simplify right side
    10,486.17x = 61,506,604.37
  5. Step 5: Solve for x
    x = 61,506,604.37/10,486.17
  6. Step 6: Final answer
    x = 5,865.50

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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.