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Finding the Fourth Proportional to 10,074.38, 13,904.46 and 5,828.15

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Solution

The fourth proportional to 10,074.38, 13,904.46 and 5,828.15 is: 8,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.38 : 13,904.46 = 5,828.15 : x
  2. Step 2: Convert to fraction form
    10,074.38/13,904.46 = 5,828.15/x
  3. Step 3: Cross multiply
    10,074.38x = 13,904.46 × 5,828.15
  4. Step 4: Simplify right side
    10,074.38x = 81,037,313.31
  5. Step 5: Solve for x
    x = 81,037,313.31/10,074.38
  6. Step 6: Final answer
    x = 8,043.90

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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.