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Finding the Fourth Proportional to 4,766.76, 7,092.45 and 4,647.72

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Solution

The fourth proportional to 4,766.76, 7,092.45 and 4,647.72 is: 6,915.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.76 : 7,092.45 = 4,647.72 : x
  2. Step 2: Convert to fraction form
    4,766.76/7,092.45 = 4,647.72/x
  3. Step 3: Cross multiply
    4,766.76x = 7,092.45 × 4,647.72
  4. Step 4: Simplify right side
    4,766.76x = 32,963,721.71
  5. Step 5: Solve for x
    x = 32,963,721.71/4,766.76
  6. Step 6: Final answer
    x = 6,915.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.