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Finding the Fourth Proportional to 7,663.48, 11,496.84 and 2,398.35

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Solution

The fourth proportional to 7,663.48, 11,496.84 and 2,398.35 is: 3,598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.48 : 11,496.84 = 2,398.35 : x
  2. Step 2: Convert to fraction form
    7,663.48/11,496.84 = 2,398.35/x
  3. Step 3: Cross multiply
    7,663.48x = 11,496.84 × 2,398.35
  4. Step 4: Simplify right side
    7,663.48x = 27,573,446.21
  5. Step 5: Solve for x
    x = 27,573,446.21/7,663.48
  6. Step 6: Final answer
    x = 3,598.03

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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.