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Finding the Fourth Proportional to 10,658.24, 14,692.58 and 6,881.12

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Solution

The fourth proportional to 10,658.24, 14,692.58 and 6,881.12 is: 9,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.24 : 14,692.58 = 6,881.12 : x
  2. Step 2: Convert to fraction form
    10,658.24/14,692.58 = 6,881.12/x
  3. Step 3: Cross multiply
    10,658.24x = 14,692.58 × 6,881.12
  4. Step 4: Simplify right side
    10,658.24x = 101,101,406.09
  5. Step 5: Solve for x
    x = 101,101,406.09/10,658.24
  6. Step 6: Final answer
    x = 9,485.75

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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.