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Finding the Fourth Proportional to 8,047.04, 11,107.12 and 5,252

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Solution

The fourth proportional to 8,047.04, 11,107.12 and 5,252 is: 7,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.04 : 11,107.12 = 5,252 : x
  2. Step 2: Convert to fraction form
    8,047.04/11,107.12 = 5,252/x
  3. Step 3: Cross multiply
    8,047.04x = 11,107.12 × 5,252
  4. Step 4: Simplify right side
    8,047.04x = 58,334,594.24
  5. Step 5: Solve for x
    x = 58,334,594.24/8,047.04
  6. Step 6: Final answer
    x = 7,249.20

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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.