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Finding the Fourth Proportional to 6,847.24, 10,249.88 and 4,875.34

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Solution

The fourth proportional to 6,847.24, 10,249.88 and 4,875.34 is: 7,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.24 : 10,249.88 = 4,875.34 : x
  2. Step 2: Convert to fraction form
    6,847.24/10,249.88 = 4,875.34/x
  3. Step 3: Cross multiply
    6,847.24x = 10,249.88 × 4,875.34
  4. Step 4: Simplify right side
    6,847.24x = 49,971,649.96
  5. Step 5: Solve for x
    x = 49,971,649.96/6,847.24
  6. Step 6: Final answer
    x = 7,298.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.