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Finding the Fourth Proportional to 10,652.66, 14,700.66 and 5,872.68

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Solution

The fourth proportional to 10,652.66, 14,700.66 and 5,872.68 is: 8,104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.66 : 14,700.66 = 5,872.68 : x
  2. Step 2: Convert to fraction form
    10,652.66/14,700.66 = 5,872.68/x
  3. Step 3: Cross multiply
    10,652.66x = 14,700.66 × 5,872.68
  4. Step 4: Simplify right side
    10,652.66x = 86,332,271.97
  5. Step 5: Solve for x
    x = 86,332,271.97/10,652.66
  6. Step 6: Final answer
    x = 8,104.29

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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.