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Finding the Fourth Proportional to 7,071.84, 10,614.96 and 4,872.96

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Solution

The fourth proportional to 7,071.84, 10,614.96 and 4,872.96 is: 7,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.84 : 10,614.96 = 4,872.96 : x
  2. Step 2: Convert to fraction form
    7,071.84/10,614.96 = 4,872.96/x
  3. Step 3: Cross multiply
    7,071.84x = 10,614.96 × 4,872.96
  4. Step 4: Simplify right side
    7,071.84x = 51,726,275.48
  5. Step 5: Solve for x
    x = 51,726,275.48/7,071.84
  6. Step 6: Final answer
    x = 7,314.40

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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.