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Finding the Fourth Proportional to 7,732.64, 11,599 and 5,434.40

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Solution

The fourth proportional to 7,732.64, 11,599 and 5,434.40 is: 8,151.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.64 : 11,599 = 5,434.40 : x
  2. Step 2: Convert to fraction form
    7,732.64/11,599 = 5,434.40/x
  3. Step 3: Cross multiply
    7,732.64x = 11,599 × 5,434.40
  4. Step 4: Simplify right side
    7,732.64x = 63,033,605.60
  5. Step 5: Solve for x
    x = 63,033,605.60/7,732.64
  6. Step 6: Final answer
    x = 8,151.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.