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Finding the Fourth Proportional to 10,067.90, 13,895.51 and 5,818.38

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Solution

The fourth proportional to 10,067.90, 13,895.51 and 5,818.38 is: 8,030.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.90 : 13,895.51 = 5,818.38 : x
  2. Step 2: Convert to fraction form
    10,067.90/13,895.51 = 5,818.38/x
  3. Step 3: Cross multiply
    10,067.90x = 13,895.51 × 5,818.38
  4. Step 4: Simplify right side
    10,067.90x = 80,849,302.54
  5. Step 5: Solve for x
    x = 80,849,302.54/10,067.90
  6. Step 6: Final answer
    x = 8,030.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.