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Finding the Fourth Proportional to 10,107.32, 13,953.89 and 6,755.81

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Solution

The fourth proportional to 10,107.32, 13,953.89 and 6,755.81 is: 9,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.32 : 13,953.89 = 6,755.81 : x
  2. Step 2: Convert to fraction form
    10,107.32/13,953.89 = 6,755.81/x
  3. Step 3: Cross multiply
    10,107.32x = 13,953.89 × 6,755.81
  4. Step 4: Simplify right side
    10,107.32x = 94,269,829.60
  5. Step 5: Solve for x
    x = 94,269,829.60/10,107.32
  6. Step 6: Final answer
    x = 9,326.89

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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.