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Finding the Fourth Proportional to 6,842.53, 10,266.27 and 2,894.77

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Solution

The fourth proportional to 6,842.53, 10,266.27 and 2,894.77 is: 4,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.53 : 10,266.27 = 2,894.77 : x
  2. Step 2: Convert to fraction form
    6,842.53/10,266.27 = 2,894.77/x
  3. Step 3: Cross multiply
    6,842.53x = 10,266.27 × 2,894.77
  4. Step 4: Simplify right side
    6,842.53x = 29,718,490.41
  5. Step 5: Solve for x
    x = 29,718,490.41/6,842.53
  6. Step 6: Final answer
    x = 4,343.20

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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.