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Finding the Fourth Proportional to 10,853.53, 14,972.25 and 6,867.79

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Solution

The fourth proportional to 10,853.53, 14,972.25 and 6,867.79 is: 9,473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.53 : 14,972.25 = 6,867.79 : x
  2. Step 2: Convert to fraction form
    10,853.53/14,972.25 = 6,867.79/x
  3. Step 3: Cross multiply
    10,853.53x = 14,972.25 × 6,867.79
  4. Step 4: Simplify right side
    10,853.53x = 102,826,268.83
  5. Step 5: Solve for x
    x = 102,826,268.83/10,853.53
  6. Step 6: Final answer
    x = 9,473.99

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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.