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Finding the Fourth Proportional to 10,936.32, 16,319.14 and 9,758.21

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Solution

The fourth proportional to 10,936.32, 16,319.14 and 9,758.21 is: 14,561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,936.32 : 16,319.14 = 9,758.21 : x
  2. Step 2: Convert to fraction form
    10,936.32/16,319.14 = 9,758.21/x
  3. Step 3: Cross multiply
    10,936.32x = 16,319.14 × 9,758.21
  4. Step 4: Simplify right side
    10,936.32x = 159,245,489.15
  5. Step 5: Solve for x
    x = 159,245,489.15/10,936.32
  6. Step 6: Final answer
    x = 14,561.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.