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Finding the Fourth Proportional to 7,830.18, 11,737.44 and 5,649.12

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Solution

The fourth proportional to 7,830.18, 11,737.44 and 5,649.12 is: 8,468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.18 : 11,737.44 = 5,649.12 : x
  2. Step 2: Convert to fraction form
    7,830.18/11,737.44 = 5,649.12/x
  3. Step 3: Cross multiply
    7,830.18x = 11,737.44 × 5,649.12
  4. Step 4: Simplify right side
    7,830.18x = 66,306,207.05
  5. Step 5: Solve for x
    x = 66,306,207.05/7,830.18
  6. Step 6: Final answer
    x = 8,468.03

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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.