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Finding the Fourth Proportional to 7,658.46, 11,477.76 and 3,211.08

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Solution

The fourth proportional to 7,658.46, 11,477.76 and 3,211.08 is: 4,812.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.46 : 11,477.76 = 3,211.08 : x
  2. Step 2: Convert to fraction form
    7,658.46/11,477.76 = 3,211.08/x
  3. Step 3: Cross multiply
    7,658.46x = 11,477.76 × 3,211.08
  4. Step 4: Simplify right side
    7,658.46x = 36,856,005.58
  5. Step 5: Solve for x
    x = 36,856,005.58/7,658.46
  6. Step 6: Final answer
    x = 4,812.46

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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.