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Finding the Fourth Proportional to 7,680.64, 11,518.08 and 4,396.16

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Solution

The fourth proportional to 7,680.64, 11,518.08 and 4,396.16 is: 6,592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.64 : 11,518.08 = 4,396.16 : x
  2. Step 2: Convert to fraction form
    7,680.64/11,518.08 = 4,396.16/x
  3. Step 3: Cross multiply
    7,680.64x = 11,518.08 × 4,396.16
  4. Step 4: Simplify right side
    7,680.64x = 50,635,322.57
  5. Step 5: Solve for x
    x = 50,635,322.57/7,680.64
  6. Step 6: Final answer
    x = 6,592.59

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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.