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Finding the Fourth Proportional to 10,659.62, 14,692.64 and 7,121.54

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Solution

The fourth proportional to 10,659.62, 14,692.64 and 7,121.54 is: 9,815.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.62 : 14,692.64 = 7,121.54 : x
  2. Step 2: Convert to fraction form
    10,659.62/14,692.64 = 7,121.54/x
  3. Step 3: Cross multiply
    10,659.62x = 14,692.64 × 7,121.54
  4. Step 4: Simplify right side
    10,659.62x = 104,634,223.47
  5. Step 5: Solve for x
    x = 104,634,223.47/10,659.62
  6. Step 6: Final answer
    x = 9,815.94

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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.