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Finding the Fourth Proportional to 10,672.67, 16,009.13 and 2,881.64

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Solution

The fourth proportional to 10,672.67, 16,009.13 and 2,881.64 is: 4,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.67 : 16,009.13 = 2,881.64 : x
  2. Step 2: Convert to fraction form
    10,672.67/16,009.13 = 2,881.64/x
  3. Step 3: Cross multiply
    10,672.67x = 16,009.13 × 2,881.64
  4. Step 4: Simplify right side
    10,672.67x = 46,132,476.53
  5. Step 5: Solve for x
    x = 46,132,476.53/10,672.67
  6. Step 6: Final answer
    x = 4,322.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.