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Finding the Fourth Proportional to 10,661.32, 15,991.62 and 2,869.84

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Solution

The fourth proportional to 10,661.32, 15,991.62 and 2,869.84 is: 4,304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.32 : 15,991.62 = 2,869.84 : x
  2. Step 2: Convert to fraction form
    10,661.32/15,991.62 = 2,869.84/x
  3. Step 3: Cross multiply
    10,661.32x = 15,991.62 × 2,869.84
  4. Step 4: Simplify right side
    10,661.32x = 45,893,390.74
  5. Step 5: Solve for x
    x = 45,893,390.74/10,661.32
  6. Step 6: Final answer
    x = 4,304.66

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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.