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Finding the Fourth Proportional to 7,438.86, 11,157.98 and 3,056.20

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Solution

The fourth proportional to 7,438.86, 11,157.98 and 3,056.20 is: 4,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.86 : 11,157.98 = 3,056.20 : x
  2. Step 2: Convert to fraction form
    7,438.86/11,157.98 = 3,056.20/x
  3. Step 3: Cross multiply
    7,438.86x = 11,157.98 × 3,056.20
  4. Step 4: Simplify right side
    7,438.86x = 34,101,018.48
  5. Step 5: Solve for x
    x = 34,101,018.48/7,438.86
  6. Step 6: Final answer
    x = 4,584.17

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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.