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Finding the Fourth Proportional to 8,710.32, 13,066.19 and 5,224.12

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Solution

The fourth proportional to 8,710.32, 13,066.19 and 5,224.12 is: 7,836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,710.32 : 13,066.19 = 5,224.12 : x
  2. Step 2: Convert to fraction form
    8,710.32/13,066.19 = 5,224.12/x
  3. Step 3: Cross multiply
    8,710.32x = 13,066.19 × 5,224.12
  4. Step 4: Simplify right side
    8,710.32x = 68,259,344.50
  5. Step 5: Solve for x
    x = 68,259,344.50/8,710.32
  6. Step 6: Final answer
    x = 7,836.61

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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.