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Finding the Fourth Proportional to 8,349.64, 12,524.85 and 4,649.08

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Solution

The fourth proportional to 8,349.64, 12,524.85 and 4,649.08 is: 6,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.64 : 12,524.85 = 4,649.08 : x
  2. Step 2: Convert to fraction form
    8,349.64/12,524.85 = 4,649.08/x
  3. Step 3: Cross multiply
    8,349.64x = 12,524.85 × 4,649.08
  4. Step 4: Simplify right side
    8,349.64x = 58,229,029.64
  5. Step 5: Solve for x
    x = 58,229,029.64/8,349.64
  6. Step 6: Final answer
    x = 6,973.84

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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.