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Finding the Fourth Proportional to 6,776.64, 10,159.49 and 2,830.92

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Solution

The fourth proportional to 6,776.64, 10,159.49 and 2,830.92 is: 4,244.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.64 : 10,159.49 = 2,830.92 : x
  2. Step 2: Convert to fraction form
    6,776.64/10,159.49 = 2,830.92/x
  3. Step 3: Cross multiply
    6,776.64x = 10,159.49 × 2,830.92
  4. Step 4: Simplify right side
    6,776.64x = 28,760,689.28
  5. Step 5: Solve for x
    x = 28,760,689.28/6,776.64
  6. Step 6: Final answer
    x = 4,244.09

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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.