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Finding the Fourth Proportional to 10,179.56, 14,047.56 and 5,641.80

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Solution

The fourth proportional to 10,179.56, 14,047.56 and 5,641.80 is: 7,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179.56 : 14,047.56 = 5,641.80 : x
  2. Step 2: Convert to fraction form
    10,179.56/14,047.56 = 5,641.80/x
  3. Step 3: Cross multiply
    10,179.56x = 14,047.56 × 5,641.80
  4. Step 4: Simplify right side
    10,179.56x = 79,253,524.01
  5. Step 5: Solve for x
    x = 79,253,524.01/10,179.56
  6. Step 6: Final answer
    x = 7,785.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.