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Finding the Fourth Proportional to 7,737.40, 10,680.66 and 5,221

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Solution

The fourth proportional to 7,737.40, 10,680.66 and 5,221 is: 7,207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.40 : 10,680.66 = 5,221 : x
  2. Step 2: Convert to fraction form
    7,737.40/10,680.66 = 5,221/x
  3. Step 3: Cross multiply
    7,737.40x = 10,680.66 × 5,221
  4. Step 4: Simplify right side
    7,737.40x = 55,763,725.86
  5. Step 5: Solve for x
    x = 55,763,725.86/7,737.40
  6. Step 6: Final answer
    x = 7,207.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.