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Finding the Fourth Proportional to 10,103.75, 13,941.06 and 5,854.57

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Solution

The fourth proportional to 10,103.75, 13,941.06 and 5,854.57 is: 8,078.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.75 : 13,941.06 = 5,854.57 : x
  2. Step 2: Convert to fraction form
    10,103.75/13,941.06 = 5,854.57/x
  3. Step 3: Cross multiply
    10,103.75x = 13,941.06 × 5,854.57
  4. Step 4: Simplify right side
    10,103.75x = 81,618,841.94
  5. Step 5: Solve for x
    x = 81,618,841.94/10,103.75
  6. Step 6: Final answer
    x = 8,078.07

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