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Finding the Fourth Proportional to 10,039.38, 13,854.52 and 6,059.64

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Solution

The fourth proportional to 10,039.38, 13,854.52 and 6,059.64 is: 8,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.38 : 13,854.52 = 6,059.64 : x
  2. Step 2: Convert to fraction form
    10,039.38/13,854.52 = 6,059.64/x
  3. Step 3: Cross multiply
    10,039.38x = 13,854.52 × 6,059.64
  4. Step 4: Simplify right side
    10,039.38x = 83,953,403.57
  5. Step 5: Solve for x
    x = 83,953,403.57/10,039.38
  6. Step 6: Final answer
    x = 8,362.41

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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.