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Finding the Fourth Proportional to 10,763.44, 14,822.80 and 9,692.08

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Solution

The fourth proportional to 10,763.44, 14,822.80 and 9,692.08 is: 13,347.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.44 : 14,822.80 = 9,692.08 : x
  2. Step 2: Convert to fraction form
    10,763.44/14,822.80 = 9,692.08/x
  3. Step 3: Cross multiply
    10,763.44x = 14,822.80 × 9,692.08
  4. Step 4: Simplify right side
    10,763.44x = 143,663,763.42
  5. Step 5: Solve for x
    x = 143,663,763.42/10,763.44
  6. Step 6: Final answer
    x = 13,347.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.