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Finding the Fourth Proportional to 7,680.54, 10,599.12 and 4,536.90

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Solution

The fourth proportional to 7,680.54, 10,599.12 and 4,536.90 is: 6,260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.54 : 10,599.12 = 4,536.90 : x
  2. Step 2: Convert to fraction form
    7,680.54/10,599.12 = 4,536.90/x
  3. Step 3: Cross multiply
    7,680.54x = 10,599.12 × 4,536.90
  4. Step 4: Simplify right side
    7,680.54x = 48,087,147.53
  5. Step 5: Solve for x
    x = 48,087,147.53/7,680.54
  6. Step 6: Final answer
    x = 6,260.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.