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Finding the Fourth Proportional to 10,179.03, 14,047.34 and 5,702.69

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Solution

The fourth proportional to 10,179.03, 14,047.34 and 5,702.69 is: 7,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179.03 : 14,047.34 = 5,702.69 : x
  2. Step 2: Convert to fraction form
    10,179.03/14,047.34 = 5,702.69/x
  3. Step 3: Cross multiply
    10,179.03x = 14,047.34 × 5,702.69
  4. Step 4: Simplify right side
    10,179.03x = 80,107,585.01
  5. Step 5: Solve for x
    x = 80,107,585.01/10,179.03
  6. Step 6: Final answer
    x = 7,869.86

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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.