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Finding the Fourth Proportional to 6,843.64, 10,263.66 and 2,460.28

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Solution

The fourth proportional to 6,843.64, 10,263.66 and 2,460.28 is: 3,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.64 : 10,263.66 = 2,460.28 : x
  2. Step 2: Convert to fraction form
    6,843.64/10,263.66 = 2,460.28/x
  3. Step 3: Cross multiply
    6,843.64x = 10,263.66 × 2,460.28
  4. Step 4: Simplify right side
    6,843.64x = 25,251,477.42
  5. Step 5: Solve for x
    x = 25,251,477.42/6,843.64
  6. Step 6: Final answer
    x = 3,689.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.