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Finding the Fourth Proportional to 7,062.76, 10,592.12 and 2,846

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Solution

The fourth proportional to 7,062.76, 10,592.12 and 2,846 is: 4,268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.76 : 10,592.12 = 2,846 : x
  2. Step 2: Convert to fraction form
    7,062.76/10,592.12 = 2,846/x
  3. Step 3: Cross multiply
    7,062.76x = 10,592.12 × 2,846
  4. Step 4: Simplify right side
    7,062.76x = 30,145,173.52
  5. Step 5: Solve for x
    x = 30,145,173.52/7,062.76
  6. Step 6: Final answer
    x = 4,268.19

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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.