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Finding the Fourth Proportional to 10,156.65, 14,016.48 and 5,680.59

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Solution

The fourth proportional to 10,156.65, 14,016.48 and 5,680.59 is: 7,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156.65 : 14,016.48 = 5,680.59 : x
  2. Step 2: Convert to fraction form
    10,156.65/14,016.48 = 5,680.59/x
  3. Step 3: Cross multiply
    10,156.65x = 14,016.48 × 5,680.59
  4. Step 4: Simplify right side
    10,156.65x = 79,621,876.12
  5. Step 5: Solve for x
    x = 79,621,876.12/10,156.65
  6. Step 6: Final answer
    x = 7,839.38

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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.