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Finding the Fourth Proportional to 13,076.78, 18,044.52 and 7,411.10

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Solution

The fourth proportional to 13,076.78, 18,044.52 and 7,411.10 is: 10,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.78 : 18,044.52 = 7,411.10 : x
  2. Step 2: Convert to fraction form
    13,076.78/18,044.52 = 7,411.10/x
  3. Step 3: Cross multiply
    13,076.78x = 18,044.52 × 7,411.10
  4. Step 4: Simplify right side
    13,076.78x = 133,729,742.17
  5. Step 5: Solve for x
    x = 133,729,742.17/13,076.78
  6. Step 6: Final answer
    x = 10,226.50

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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.