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Finding the Fourth Proportional to 7,380.48, 11,024.16 and 6,214.08

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Solution

The fourth proportional to 7,380.48, 11,024.16 and 6,214.08 is: 9,281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.48 : 11,024.16 = 6,214.08 : x
  2. Step 2: Convert to fraction form
    7,380.48/11,024.16 = 6,214.08/x
  3. Step 3: Cross multiply
    7,380.48x = 11,024.16 × 6,214.08
  4. Step 4: Simplify right side
    7,380.48x = 68,505,012.17
  5. Step 5: Solve for x
    x = 68,505,012.17/7,380.48
  6. Step 6: Final answer
    x = 9,281.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.