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Finding the Fourth Proportional to 10,472.48, 14,451.98 and 5,692.40

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Solution

The fourth proportional to 10,472.48, 14,451.98 and 5,692.40 is: 7,855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.48 : 14,451.98 = 5,692.40 : x
  2. Step 2: Convert to fraction form
    10,472.48/14,451.98 = 5,692.40/x
  3. Step 3: Cross multiply
    10,472.48x = 14,451.98 × 5,692.40
  4. Step 4: Simplify right side
    10,472.48x = 82,266,450.95
  5. Step 5: Solve for x
    x = 82,266,450.95/10,472.48
  6. Step 6: Final answer
    x = 7,855.49

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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.