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Finding the Fourth Proportional to 10,390.50, 14,338.97 and 5,675.09

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Solution

The fourth proportional to 10,390.50, 14,338.97 and 5,675.09 is: 7,831.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.50 : 14,338.97 = 5,675.09 : x
  2. Step 2: Convert to fraction form
    10,390.50/14,338.97 = 5,675.09/x
  3. Step 3: Cross multiply
    10,390.50x = 14,338.97 × 5,675.09
  4. Step 4: Simplify right side
    10,390.50x = 81,374,845.19
  5. Step 5: Solve for x
    x = 81,374,845.19/10,390.50
  6. Step 6: Final answer
    x = 7,831.66

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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.