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Finding the Fourth Proportional to 10,093.22, 13,928.65 and 5,677.22

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Solution

The fourth proportional to 10,093.22, 13,928.65 and 5,677.22 is: 7,834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.22 : 13,928.65 = 5,677.22 : x
  2. Step 2: Convert to fraction form
    10,093.22/13,928.65 = 5,677.22/x
  3. Step 3: Cross multiply
    10,093.22x = 13,928.65 × 5,677.22
  4. Step 4: Simplify right side
    10,093.22x = 79,076,030.98
  5. Step 5: Solve for x
    x = 79,076,030.98/10,093.22
  6. Step 6: Final answer
    x = 7,834.57

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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.