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Finding the Fourth Proportional to 10,111.47, 13,950.04 and 6,131.13

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Solution

The fourth proportional to 10,111.47, 13,950.04 and 6,131.13 is: 8,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111.47 : 13,950.04 = 6,131.13 : x
  2. Step 2: Convert to fraction form
    10,111.47/13,950.04 = 6,131.13/x
  3. Step 3: Cross multiply
    10,111.47x = 13,950.04 × 6,131.13
  4. Step 4: Simplify right side
    10,111.47x = 85,529,508.75
  5. Step 5: Solve for x
    x = 85,529,508.75/10,111.47
  6. Step 6: Final answer
    x = 8,458.66

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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.