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Finding the Fourth Proportional to 8,933.68, 13,402.77 and 5,239

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Solution

The fourth proportional to 8,933.68, 13,402.77 and 5,239 is: 7,859.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,933.68 : 13,402.77 = 5,239 : x
  2. Step 2: Convert to fraction form
    8,933.68/13,402.77 = 5,239/x
  3. Step 3: Cross multiply
    8,933.68x = 13,402.77 × 5,239
  4. Step 4: Simplify right side
    8,933.68x = 70,217,112.03
  5. Step 5: Solve for x
    x = 70,217,112.03/8,933.68
  6. Step 6: Final answer
    x = 7,859.82

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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.