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Finding the Fourth Proportional to 6,705.74, 10,052.12 and 2,808.02

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Solution

The fourth proportional to 6,705.74, 10,052.12 and 2,808.02 is: 4,209.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.74 : 10,052.12 = 2,808.02 : x
  2. Step 2: Convert to fraction form
    6,705.74/10,052.12 = 2,808.02/x
  3. Step 3: Cross multiply
    6,705.74x = 10,052.12 × 2,808.02
  4. Step 4: Simplify right side
    6,705.74x = 28,226,510.76
  5. Step 5: Solve for x
    x = 28,226,510.76/6,705.74
  6. Step 6: Final answer
    x = 4,209.31

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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.