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Finding the Fourth Proportional to 7,680.80, 11,503.92 and 7,516.64

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Solution

The fourth proportional to 7,680.80, 11,503.92 and 7,516.64 is: 11,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.80 : 11,503.92 = 7,516.64 : x
  2. Step 2: Convert to fraction form
    7,680.80/11,503.92 = 7,516.64/x
  3. Step 3: Cross multiply
    7,680.80x = 11,503.92 × 7,516.64
  4. Step 4: Simplify right side
    7,680.80x = 86,470,825.23
  5. Step 5: Solve for x
    x = 86,470,825.23/7,680.80
  6. Step 6: Final answer
    x = 11,258.05

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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.