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Finding the Fourth Proportional to 10,759.66, 16,140.50 and 4,186.36

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Solution

The fourth proportional to 10,759.66, 16,140.50 and 4,186.36 is: 6,279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.66 : 16,140.50 = 4,186.36 : x
  2. Step 2: Convert to fraction form
    10,759.66/16,140.50 = 4,186.36/x
  3. Step 3: Cross multiply
    10,759.66x = 16,140.50 × 4,186.36
  4. Step 4: Simplify right side
    10,759.66x = 67,569,943.58
  5. Step 5: Solve for x
    x = 67,569,943.58/10,759.66
  6. Step 6: Final answer
    x = 6,279.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.