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Finding the Fourth Proportional to 4,713.42, 7,069.32 and 1,711.16

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Solution

The fourth proportional to 4,713.42, 7,069.32 and 1,711.16 is: 2,566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.42 : 7,069.32 = 1,711.16 : x
  2. Step 2: Convert to fraction form
    4,713.42/7,069.32 = 1,711.16/x
  3. Step 3: Cross multiply
    4,713.42x = 7,069.32 × 1,711.16
  4. Step 4: Simplify right side
    4,713.42x = 12,096,737.61
  5. Step 5: Solve for x
    x = 12,096,737.61/4,713.42
  6. Step 6: Final answer
    x = 2,566.45

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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.