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Finding the Fourth Proportional to 7,486.92, 11,202.54 and 4,700.56

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Solution

The fourth proportional to 7,486.92, 11,202.54 and 4,700.56 is: 7,033.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.92 : 11,202.54 = 4,700.56 : x
  2. Step 2: Convert to fraction form
    7,486.92/11,202.54 = 4,700.56/x
  3. Step 3: Cross multiply
    7,486.92x = 11,202.54 × 4,700.56
  4. Step 4: Simplify right side
    7,486.92x = 52,658,211.42
  5. Step 5: Solve for x
    x = 52,658,211.42/7,486.92
  6. Step 6: Final answer
    x = 7,033.36

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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.