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Finding the Fourth Proportional to 10,506.71, 15,760.34 and 2,715.50

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Solution

The fourth proportional to 10,506.71, 15,760.34 and 2,715.50 is: 4,073.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.71 : 15,760.34 = 2,715.50 : x
  2. Step 2: Convert to fraction form
    10,506.71/15,760.34 = 2,715.50/x
  3. Step 3: Cross multiply
    10,506.71x = 15,760.34 × 2,715.50
  4. Step 4: Simplify right side
    10,506.71x = 42,797,203.27
  5. Step 5: Solve for x
    x = 42,797,203.27/10,506.71
  6. Step 6: Final answer
    x = 4,073.32

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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.