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Finding the Fourth Proportional to 7,387.98, 11,074.76 and 4,094.18

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Solution

The fourth proportional to 7,387.98, 11,074.76 and 4,094.18 is: 6,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.98 : 11,074.76 = 4,094.18 : x
  2. Step 2: Convert to fraction form
    7,387.98/11,074.76 = 4,094.18/x
  3. Step 3: Cross multiply
    7,387.98x = 11,074.76 × 4,094.18
  4. Step 4: Simplify right side
    7,387.98x = 45,342,060.90
  5. Step 5: Solve for x
    x = 45,342,060.90/7,387.98
  6. Step 6: Final answer
    x = 6,137.27

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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.