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Finding the Fourth Proportional to 10,053.90, 13,874.04 and 6,074.32

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Solution

The fourth proportional to 10,053.90, 13,874.04 and 6,074.32 is: 8,382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.90 : 13,874.04 = 6,074.32 : x
  2. Step 2: Convert to fraction form
    10,053.90/13,874.04 = 6,074.32/x
  3. Step 3: Cross multiply
    10,053.90x = 13,874.04 × 6,074.32
  4. Step 4: Simplify right side
    10,053.90x = 84,275,358.65
  5. Step 5: Solve for x
    x = 84,275,358.65/10,053.90
  6. Step 6: Final answer
    x = 8,382.35

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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.