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Finding the Fourth Proportional to 10,681.32, 14,740.52 and 5,965.91

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Solution

The fourth proportional to 10,681.32, 14,740.52 and 5,965.91 is: 8,233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.32 : 14,740.52 = 5,965.91 : x
  2. Step 2: Convert to fraction form
    10,681.32/14,740.52 = 5,965.91/x
  3. Step 3: Cross multiply
    10,681.32x = 14,740.52 × 5,965.91
  4. Step 4: Simplify right side
    10,681.32x = 87,940,512.14
  5. Step 5: Solve for x
    x = 87,940,512.14/10,681.32
  6. Step 6: Final answer
    x = 8,233.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.