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Finding the Fourth Proportional to 10,179.45, 14,048.19 and 5,702.97

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Solution

The fourth proportional to 10,179.45, 14,048.19 and 5,702.97 is: 7,870.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179.45 : 14,048.19 = 5,702.97 : x
  2. Step 2: Convert to fraction form
    10,179.45/14,048.19 = 5,702.97/x
  3. Step 3: Cross multiply
    10,179.45x = 14,048.19 × 5,702.97
  4. Step 4: Simplify right side
    10,179.45x = 80,116,406.12
  5. Step 5: Solve for x
    x = 80,116,406.12/10,179.45
  6. Step 6: Final answer
    x = 7,870.41

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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.