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Finding the Fourth Proportional to 10,692.24, 14,750.28 and 6,497.68

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Solution

The fourth proportional to 10,692.24, 14,750.28 and 6,497.68 is: 8,963.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.24 : 14,750.28 = 6,497.68 : x
  2. Step 2: Convert to fraction form
    10,692.24/14,750.28 = 6,497.68/x
  3. Step 3: Cross multiply
    10,692.24x = 14,750.28 × 6,497.68
  4. Step 4: Simplify right side
    10,692.24x = 95,842,599.35
  5. Step 5: Solve for x
    x = 95,842,599.35/10,692.24
  6. Step 6: Final answer
    x = 8,963.75

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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.