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Finding the Fourth Proportional to 8,298, 11,451.48 and 4,572.24

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Solution

The fourth proportional to 8,298, 11,451.48 and 4,572.24 is: 6,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298 : 11,451.48 = 4,572.24 : x
  2. Step 2: Convert to fraction form
    8,298/11,451.48 = 4,572.24/x
  3. Step 3: Cross multiply
    8,298x = 11,451.48 × 4,572.24
  4. Step 4: Simplify right side
    8,298x = 52,358,914.92
  5. Step 5: Solve for x
    x = 52,358,914.92/8,298
  6. Step 6: Final answer
    x = 6,309.82

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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.