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Finding the Fourth Proportional to 8,065.64, 12,096.43 and 2,870.30

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Solution

The fourth proportional to 8,065.64, 12,096.43 and 2,870.30 is: 4,304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.64 : 12,096.43 = 2,870.30 : x
  2. Step 2: Convert to fraction form
    8,065.64/12,096.43 = 2,870.30/x
  3. Step 3: Cross multiply
    8,065.64x = 12,096.43 × 2,870.30
  4. Step 4: Simplify right side
    8,065.64x = 34,720,383.03
  5. Step 5: Solve for x
    x = 34,720,383.03/8,065.64
  6. Step 6: Final answer
    x = 4,304.73

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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.