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Finding the Fourth Proportional to 10,692.56, 14,752.11 and 6,920.49

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Solution

The fourth proportional to 10,692.56, 14,752.11 and 6,920.49 is: 9,547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.56 : 14,752.11 = 6,920.49 : x
  2. Step 2: Convert to fraction form
    10,692.56/14,752.11 = 6,920.49/x
  3. Step 3: Cross multiply
    10,692.56x = 14,752.11 × 6,920.49
  4. Step 4: Simplify right side
    10,692.56x = 102,091,829.73
  5. Step 5: Solve for x
    x = 102,091,829.73/10,692.56
  6. Step 6: Final answer
    x = 9,547.94

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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.