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Finding the Fourth Proportional to 11,826.54, 16,314.41 and 7,045.11

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Solution

The fourth proportional to 11,826.54, 16,314.41 and 7,045.11 is: 9,718.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826.54 : 16,314.41 = 7,045.11 : x
  2. Step 2: Convert to fraction form
    11,826.54/16,314.41 = 7,045.11/x
  3. Step 3: Cross multiply
    11,826.54x = 16,314.41 × 7,045.11
  4. Step 4: Simplify right side
    11,826.54x = 114,936,830.65
  5. Step 5: Solve for x
    x = 114,936,830.65/11,826.54
  6. Step 6: Final answer
    x = 9,718.55

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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.