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Finding the Fourth Proportional to 7,680.57, 11,511.36 and 3,980.67

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Solution

The fourth proportional to 7,680.57, 11,511.36 and 3,980.67 is: 5,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.57 : 11,511.36 = 3,980.67 : x
  2. Step 2: Convert to fraction form
    7,680.57/11,511.36 = 3,980.67/x
  3. Step 3: Cross multiply
    7,680.57x = 11,511.36 × 3,980.67
  4. Step 4: Simplify right side
    7,680.57x = 45,822,925.41
  5. Step 5: Solve for x
    x = 45,822,925.41/7,680.57
  6. Step 6: Final answer
    x = 5,966.08

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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.