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Finding the Fourth Proportional to 10,677.76, 16,015.20 and 2,886.64

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Solution

The fourth proportional to 10,677.76, 16,015.20 and 2,886.64 is: 4,329.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.76 : 16,015.20 = 2,886.64 : x
  2. Step 2: Convert to fraction form
    10,677.76/16,015.20 = 2,886.64/x
  3. Step 3: Cross multiply
    10,677.76x = 16,015.20 × 2,886.64
  4. Step 4: Simplify right side
    10,677.76x = 46,230,116.93
  5. Step 5: Solve for x
    x = 46,230,116.93/10,677.76
  6. Step 6: Final answer
    x = 4,329.57

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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.