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Finding the Fourth Proportional to 10,891.16, 15,027.83 and 7,311.32

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Solution

The fourth proportional to 10,891.16, 15,027.83 and 7,311.32 is: 10,088.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.16 : 15,027.83 = 7,311.32 : x
  2. Step 2: Convert to fraction form
    10,891.16/15,027.83 = 7,311.32/x
  3. Step 3: Cross multiply
    10,891.16x = 15,027.83 × 7,311.32
  4. Step 4: Simplify right side
    10,891.16x = 109,873,274.04
  5. Step 5: Solve for x
    x = 109,873,274.04/10,891.16
  6. Step 6: Final answer
    x = 10,088.30

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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.