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Finding the Fourth Proportional to 10,502.70, 15,754.86 and 3,107.01

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Solution

The fourth proportional to 10,502.70, 15,754.86 and 3,107.01 is: 4,660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.70 : 15,754.86 = 3,107.01 : x
  2. Step 2: Convert to fraction form
    10,502.70/15,754.86 = 3,107.01/x
  3. Step 3: Cross multiply
    10,502.70x = 15,754.86 × 3,107.01
  4. Step 4: Simplify right side
    10,502.70x = 48,950,507.57
  5. Step 5: Solve for x
    x = 48,950,507.57/10,502.70
  6. Step 6: Final answer
    x = 4,660.75

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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.