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Finding the Fourth Proportional to 11,377.74, 17,038.11 and 7,205.16

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Solution

The fourth proportional to 11,377.74, 17,038.11 and 7,205.16 is: 10,789.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377.74 : 17,038.11 = 7,205.16 : x
  2. Step 2: Convert to fraction form
    11,377.74/17,038.11 = 7,205.16/x
  3. Step 3: Cross multiply
    11,377.74x = 17,038.11 × 7,205.16
  4. Step 4: Simplify right side
    11,377.74x = 122,762,308.65
  5. Step 5: Solve for x
    x = 122,762,308.65/11,377.74
  6. Step 6: Final answer
    x = 10,789.69

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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.