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Finding the Fourth Proportional to 7,600.40, 11,398.16 and 2,335.20

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Solution

The fourth proportional to 7,600.40, 11,398.16 and 2,335.20 is: 3,502.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.40 : 11,398.16 = 2,335.20 : x
  2. Step 2: Convert to fraction form
    7,600.40/11,398.16 = 2,335.20/x
  3. Step 3: Cross multiply
    7,600.40x = 11,398.16 × 2,335.20
  4. Step 4: Simplify right side
    7,600.40x = 26,616,983.23
  5. Step 5: Solve for x
    x = 26,616,983.23/7,600.40
  6. Step 6: Final answer
    x = 3,502.05

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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.