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Finding the Fourth Proportional to 7,134.84, 10,702.32 and 2,204.46

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Solution

The fourth proportional to 7,134.84, 10,702.32 and 2,204.46 is: 3,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.84 : 10,702.32 = 2,204.46 : x
  2. Step 2: Convert to fraction form
    7,134.84/10,702.32 = 2,204.46/x
  3. Step 3: Cross multiply
    7,134.84x = 10,702.32 × 2,204.46
  4. Step 4: Simplify right side
    7,134.84x = 23,592,836.35
  5. Step 5: Solve for x
    x = 23,592,836.35/7,134.84
  6. Step 6: Final answer
    x = 3,306.71

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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.