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Finding the Fourth Proportional to 10,875.68, 16,311.12 and 3,084.32

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Solution

The fourth proportional to 10,875.68, 16,311.12 and 3,084.32 is: 4,625.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.68 : 16,311.12 = 3,084.32 : x
  2. Step 2: Convert to fraction form
    10,875.68/16,311.12 = 3,084.32/x
  3. Step 3: Cross multiply
    10,875.68x = 16,311.12 × 3,084.32
  4. Step 4: Simplify right side
    10,875.68x = 50,308,713.64
  5. Step 5: Solve for x
    x = 50,308,713.64/10,875.68
  6. Step 6: Final answer
    x = 4,625.80

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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.