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Finding the Fourth Proportional to 7,378.18, 11,047.74 and 6,085.42

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Solution

The fourth proportional to 7,378.18, 11,047.74 and 6,085.42 is: 9,112.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.18 : 11,047.74 = 6,085.42 : x
  2. Step 2: Convert to fraction form
    7,378.18/11,047.74 = 6,085.42/x
  3. Step 3: Cross multiply
    7,378.18x = 11,047.74 × 6,085.42
  4. Step 4: Simplify right side
    7,378.18x = 67,230,137.95
  5. Step 5: Solve for x
    x = 67,230,137.95/7,378.18
  6. Step 6: Final answer
    x = 9,112.02

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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.