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Finding the Fourth Proportional to 10,151.94, 14,013.98 and 6,174.32

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Solution

The fourth proportional to 10,151.94, 14,013.98 and 6,174.32 is: 8,523.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.94 : 14,013.98 = 6,174.32 : x
  2. Step 2: Convert to fraction form
    10,151.94/14,013.98 = 6,174.32/x
  3. Step 3: Cross multiply
    10,151.94x = 14,013.98 × 6,174.32
  4. Step 4: Simplify right side
    10,151.94x = 86,526,796.99
  5. Step 5: Solve for x
    x = 86,526,796.99/10,151.94
  6. Step 6: Final answer
    x = 8,523.18

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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.