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Finding the Fourth Proportional to 11,357.28, 15,671.12 and 7,107.84

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Solution

The fourth proportional to 11,357.28, 15,671.12 and 7,107.84 is: 9,807.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.28 : 15,671.12 = 7,107.84 : x
  2. Step 2: Convert to fraction form
    11,357.28/15,671.12 = 7,107.84/x
  3. Step 3: Cross multiply
    11,357.28x = 15,671.12 × 7,107.84
  4. Step 4: Simplify right side
    11,357.28x = 111,387,813.58
  5. Step 5: Solve for x
    x = 111,387,813.58/11,357.28
  6. Step 6: Final answer
    x = 9,807.61

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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.