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Finding the Fourth Proportional to 7,691.78, 10,612.23 and 4,706.12

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Solution

The fourth proportional to 7,691.78, 10,612.23 and 4,706.12 is: 6,492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.78 : 10,612.23 = 4,706.12 : x
  2. Step 2: Convert to fraction form
    7,691.78/10,612.23 = 4,706.12/x
  3. Step 3: Cross multiply
    7,691.78x = 10,612.23 × 4,706.12
  4. Step 4: Simplify right side
    7,691.78x = 49,942,427.85
  5. Step 5: Solve for x
    x = 49,942,427.85/7,691.78
  6. Step 6: Final answer
    x = 6,492.96

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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.