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Finding the Fourth Proportional to 10,863.77, 16,294.77 and 4,290.01

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Solution

The fourth proportional to 10,863.77, 16,294.77 and 4,290.01 is: 6,434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.77 : 16,294.77 = 4,290.01 : x
  2. Step 2: Convert to fraction form
    10,863.77/16,294.77 = 4,290.01/x
  3. Step 3: Cross multiply
    10,863.77x = 16,294.77 × 4,290.01
  4. Step 4: Simplify right side
    10,863.77x = 69,904,685.51
  5. Step 5: Solve for x
    x = 69,904,685.51/10,863.77
  6. Step 6: Final answer
    x = 6,434.66

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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.