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Finding the Fourth Proportional to 10,844.34, 16,266.52 and 3,053.16

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Solution

The fourth proportional to 10,844.34, 16,266.52 and 3,053.16 is: 4,579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,844.34 : 16,266.52 = 3,053.16 : x
  2. Step 2: Convert to fraction form
    10,844.34/16,266.52 = 3,053.16/x
  3. Step 3: Cross multiply
    10,844.34x = 16,266.52 × 3,053.16
  4. Step 4: Simplify right side
    10,844.34x = 49,664,288.20
  5. Step 5: Solve for x
    x = 49,664,288.20/10,844.34
  6. Step 6: Final answer
    x = 4,579.74

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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.