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Finding the Fourth Proportional to 7,468.16, 11,194 and 3,083.28

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Solution

The fourth proportional to 7,468.16, 11,194 and 3,083.28 is: 4,621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.16 : 11,194 = 3,083.28 : x
  2. Step 2: Convert to fraction form
    7,468.16/11,194 = 3,083.28/x
  3. Step 3: Cross multiply
    7,468.16x = 11,194 × 3,083.28
  4. Step 4: Simplify right side
    7,468.16x = 34,514,236.32
  5. Step 5: Solve for x
    x = 34,514,236.32/7,468.16
  6. Step 6: Final answer
    x = 4,621.52

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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.