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Finding the Fourth Proportional to 7,960.32, 11,940.47 and 4,497.84

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Solution

The fourth proportional to 7,960.32, 11,940.47 and 4,497.84 is: 6,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.32 : 11,940.47 = 4,497.84 : x
  2. Step 2: Convert to fraction form
    7,960.32/11,940.47 = 4,497.84/x
  3. Step 3: Cross multiply
    7,960.32x = 11,940.47 × 4,497.84
  4. Step 4: Simplify right side
    7,960.32x = 53,706,301.10
  5. Step 5: Solve for x
    x = 53,706,301.10/7,960.32
  6. Step 6: Final answer
    x = 6,746.75

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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.