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Finding the Fourth Proportional to 10,067.86, 15,102.96 and 4,870

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Solution

The fourth proportional to 10,067.86, 15,102.96 and 4,870 is: 7,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.86 : 15,102.96 = 4,870 : x
  2. Step 2: Convert to fraction form
    10,067.86/15,102.96 = 4,870/x
  3. Step 3: Cross multiply
    10,067.86x = 15,102.96 × 4,870
  4. Step 4: Simplify right side
    10,067.86x = 73,551,415.20
  5. Step 5: Solve for x
    x = 73,551,415.20/10,067.86
  6. Step 6: Final answer
    x = 7,305.57

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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.