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Finding the Fourth Proportional to 11,957.78, 16,499.13 and 7,243.22

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Solution

The fourth proportional to 11,957.78, 16,499.13 and 7,243.22 is: 9,994.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.78 : 16,499.13 = 7,243.22 : x
  2. Step 2: Convert to fraction form
    11,957.78/16,499.13 = 7,243.22/x
  3. Step 3: Cross multiply
    11,957.78x = 16,499.13 × 7,243.22
  4. Step 4: Simplify right side
    11,957.78x = 119,506,828.40
  5. Step 5: Solve for x
    x = 119,506,828.40/11,957.78
  6. Step 6: Final answer
    x = 9,994.06

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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.