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Finding the Fourth Proportional to 4,766.77, 7,195.12 and 4,766.77

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Solution

The fourth proportional to 4,766.77, 7,195.12 and 4,766.77 is: 7,195.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.77 : 7,195.12 = 4,766.77 : x
  2. Step 2: Convert to fraction form
    4,766.77/7,195.12 = 4,766.77/x
  3. Step 3: Cross multiply
    4,766.77x = 7,195.12 × 4,766.77
  4. Step 4: Simplify right side
    4,766.77x = 34,297,482.16
  5. Step 5: Solve for x
    x = 34,297,482.16/4,766.77
  6. Step 6: Final answer
    x = 7,195.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.