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Finding the Fourth Proportional to 10,877.64, 16,314.30 and 5,328.60

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Solution

The fourth proportional to 10,877.64, 16,314.30 and 5,328.60 is: 7,991.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.64 : 16,314.30 = 5,328.60 : x
  2. Step 2: Convert to fraction form
    10,877.64/16,314.30 = 5,328.60/x
  3. Step 3: Cross multiply
    10,877.64x = 16,314.30 × 5,328.60
  4. Step 4: Simplify right side
    10,877.64x = 86,932,378.98
  5. Step 5: Solve for x
    x = 86,932,378.98/10,877.64
  6. Step 6: Final answer
    x = 7,991.84

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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.