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Finding the Fourth Proportional to 10,671.01, 16,004.69 and 2,878

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Solution

The fourth proportional to 10,671.01, 16,004.69 and 2,878 is: 4,316.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.01 : 16,004.69 = 2,878 : x
  2. Step 2: Convert to fraction form
    10,671.01/16,004.69 = 2,878/x
  3. Step 3: Cross multiply
    10,671.01x = 16,004.69 × 2,878
  4. Step 4: Simplify right side
    10,671.01x = 46,061,497.82
  5. Step 5: Solve for x
    x = 46,061,497.82/10,671.01
  6. Step 6: Final answer
    x = 4,316.51

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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.