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Finding the Fourth Proportional to 7,493.88, 11,242.74 and 2,877.24

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Solution

The fourth proportional to 7,493.88, 11,242.74 and 2,877.24 is: 4,316.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.88 : 11,242.74 = 2,877.24 : x
  2. Step 2: Convert to fraction form
    7,493.88/11,242.74 = 2,877.24/x
  3. Step 3: Cross multiply
    7,493.88x = 11,242.74 × 2,877.24
  4. Step 4: Simplify right side
    7,493.88x = 32,348,061.24
  5. Step 5: Solve for x
    x = 32,348,061.24/7,493.88
  6. Step 6: Final answer
    x = 4,316.60

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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.