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Finding the Fourth Proportional to 10,086.63, 15,116.04 and 5,145.94

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Solution

The fourth proportional to 10,086.63, 15,116.04 and 5,145.94 is: 7,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.63 : 15,116.04 = 5,145.94 : x
  2. Step 2: Convert to fraction form
    10,086.63/15,116.04 = 5,145.94/x
  3. Step 3: Cross multiply
    10,086.63x = 15,116.04 × 5,145.94
  4. Step 4: Simplify right side
    10,086.63x = 77,786,289.50
  5. Step 5: Solve for x
    x = 77,786,289.50/10,086.63
  6. Step 6: Final answer
    x = 7,711.82

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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.