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Finding the Fourth Proportional to 7,466.88, 11,200.38 and 3,084.28

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Solution

The fourth proportional to 7,466.88, 11,200.38 and 3,084.28 is: 4,626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466.88 : 11,200.38 = 3,084.28 : x
  2. Step 2: Convert to fraction form
    7,466.88/11,200.38 = 3,084.28/x
  3. Step 3: Cross multiply
    7,466.88x = 11,200.38 × 3,084.28
  4. Step 4: Simplify right side
    7,466.88x = 34,545,068.46
  5. Step 5: Solve for x
    x = 34,545,068.46/7,466.88
  6. Step 6: Final answer
    x = 4,626.44

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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.