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Finding the Fourth Proportional to 8,732.16, 13,100.64 and 4,839.30

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Solution

The fourth proportional to 8,732.16, 13,100.64 and 4,839.30 is: 7,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,732.16 : 13,100.64 = 4,839.30 : x
  2. Step 2: Convert to fraction form
    8,732.16/13,100.64 = 4,839.30/x
  3. Step 3: Cross multiply
    8,732.16x = 13,100.64 × 4,839.30
  4. Step 4: Simplify right side
    8,732.16x = 63,397,927.15
  5. Step 5: Solve for x
    x = 63,397,927.15/8,732.16
  6. Step 6: Final answer
    x = 7,260.28

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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.