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Finding the Fourth Proportional to 10,692.27, 14,757.71 and 7,113.47

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Solution

The fourth proportional to 10,692.27, 14,757.71 and 7,113.47 is: 9,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.27 : 14,757.71 = 7,113.47 : x
  2. Step 2: Convert to fraction form
    10,692.27/14,757.71 = 7,113.47/x
  3. Step 3: Cross multiply
    10,692.27x = 14,757.71 × 7,113.47
  4. Step 4: Simplify right side
    10,692.27x = 104,978,418.00
  5. Step 5: Solve for x
    x = 104,978,418.00/10,692.27
  6. Step 6: Final answer
    x = 9,818.16

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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.