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Finding the Fourth Proportional to 11,948.48, 16,490.44 and 7,232.84

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Solution

The fourth proportional to 11,948.48, 16,490.44 and 7,232.84 is: 9,982.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.48 : 16,490.44 = 7,232.84 : x
  2. Step 2: Convert to fraction form
    11,948.48/16,490.44 = 7,232.84/x
  3. Step 3: Cross multiply
    11,948.48x = 16,490.44 × 7,232.84
  4. Step 4: Simplify right side
    11,948.48x = 119,272,714.05
  5. Step 5: Solve for x
    x = 119,272,714.05/11,948.48
  6. Step 6: Final answer
    x = 9,982.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.