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Finding the Fourth Proportional to 7,086.46, 10,615.10 and 4,157.71

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Solution

The fourth proportional to 7,086.46, 10,615.10 and 4,157.71 is: 6,228.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.46 : 10,615.10 = 4,157.71 : x
  2. Step 2: Convert to fraction form
    7,086.46/10,615.10 = 4,157.71/x
  3. Step 3: Cross multiply
    7,086.46x = 10,615.10 × 4,157.71
  4. Step 4: Simplify right side
    7,086.46x = 44,134,507.42
  5. Step 5: Solve for x
    x = 44,134,507.42/7,086.46
  6. Step 6: Final answer
    x = 6,228.00

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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.