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Finding the Fourth Proportional to 10,107.64, 13,948.77 and 5,631.85

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Solution

The fourth proportional to 10,107.64, 13,948.77 and 5,631.85 is: 7,772.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.64 : 13,948.77 = 5,631.85 : x
  2. Step 2: Convert to fraction form
    10,107.64/13,948.77 = 5,631.85/x
  3. Step 3: Cross multiply
    10,107.64x = 13,948.77 × 5,631.85
  4. Step 4: Simplify right side
    10,107.64x = 78,557,380.32
  5. Step 5: Solve for x
    x = 78,557,380.32/10,107.64
  6. Step 6: Final answer
    x = 7,772.08

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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.