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Finding the Fourth Proportional to 10,375.88, 14,318.75 and 5,660.26

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Solution

The fourth proportional to 10,375.88, 14,318.75 and 5,660.26 is: 7,811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.88 : 14,318.75 = 5,660.26 : x
  2. Step 2: Convert to fraction form
    10,375.88/14,318.75 = 5,660.26/x
  3. Step 3: Cross multiply
    10,375.88x = 14,318.75 × 5,660.26
  4. Step 4: Simplify right side
    10,375.88x = 81,047,776.28
  5. Step 5: Solve for x
    x = 81,047,776.28/10,375.88
  6. Step 6: Final answer
    x = 7,811.18

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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.