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Finding the Fourth Proportional to 10,174.17, 14,025.89 and 7,480.65

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Solution

The fourth proportional to 10,174.17, 14,025.89 and 7,480.65 is: 10,312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.17 : 14,025.89 = 7,480.65 : x
  2. Step 2: Convert to fraction form
    10,174.17/14,025.89 = 7,480.65/x
  3. Step 3: Cross multiply
    10,174.17x = 14,025.89 × 7,480.65
  4. Step 4: Simplify right side
    10,174.17x = 104,922,845.33
  5. Step 5: Solve for x
    x = 104,922,845.33/10,174.17
  6. Step 6: Final answer
    x = 10,312.66

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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.