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Finding the Fourth Proportional to 10,840.80, 14,960.40 and 5,872.80

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Solution

The fourth proportional to 10,840.80, 14,960.40 and 5,872.80 is: 8,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.80 : 14,960.40 = 5,872.80 : x
  2. Step 2: Convert to fraction form
    10,840.80/14,960.40 = 5,872.80/x
  3. Step 3: Cross multiply
    10,840.80x = 14,960.40 × 5,872.80
  4. Step 4: Simplify right side
    10,840.80x = 87,859,437.12
  5. Step 5: Solve for x
    x = 87,859,437.12/10,840.80
  6. Step 6: Final answer
    x = 8,104.52

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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.