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Finding the Fourth Proportional to 10,883.12, 16,323.56 and 3,862

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Solution

The fourth proportional to 10,883.12, 16,323.56 and 3,862 is: 5,792.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.12 : 16,323.56 = 3,862 : x
  2. Step 2: Convert to fraction form
    10,883.12/16,323.56 = 3,862/x
  3. Step 3: Cross multiply
    10,883.12x = 16,323.56 × 3,862
  4. Step 4: Simplify right side
    10,883.12x = 63,041,588.72
  5. Step 5: Solve for x
    x = 63,041,588.72/10,883.12
  6. Step 6: Final answer
    x = 5,792.60

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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.