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Finding the Fourth Proportional to 10,212.93, 14,081.58 and 7,375.77

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Solution

The fourth proportional to 10,212.93, 14,081.58 and 7,375.77 is: 10,169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.93 : 14,081.58 = 7,375.77 : x
  2. Step 2: Convert to fraction form
    10,212.93/14,081.58 = 7,375.77/x
  3. Step 3: Cross multiply
    10,212.93x = 14,081.58 × 7,375.77
  4. Step 4: Simplify right side
    10,212.93x = 103,862,495.32
  5. Step 5: Solve for x
    x = 103,862,495.32/10,212.93
  6. Step 6: Final answer
    x = 10,169.71

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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.