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Finding the Fourth Proportional to 10,104.94, 13,944.45 and 5,913.10

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Solution

The fourth proportional to 10,104.94, 13,944.45 and 5,913.10 is: 8,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.94 : 13,944.45 = 5,913.10 : x
  2. Step 2: Convert to fraction form
    10,104.94/13,944.45 = 5,913.10/x
  3. Step 3: Cross multiply
    10,104.94x = 13,944.45 × 5,913.10
  4. Step 4: Simplify right side
    10,104.94x = 82,454,927.30
  5. Step 5: Solve for x
    x = 82,454,927.30/10,104.94
  6. Step 6: Final answer
    x = 8,159.86

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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.