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Finding the Fourth Proportional to 10,407.96, 14,363.28 and 5,692.32

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Solution

The fourth proportional to 10,407.96, 14,363.28 and 5,692.32 is: 7,855.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.96 : 14,363.28 = 5,692.32 : x
  2. Step 2: Convert to fraction form
    10,407.96/14,363.28 = 5,692.32/x
  3. Step 3: Cross multiply
    10,407.96x = 14,363.28 × 5,692.32
  4. Step 4: Simplify right side
    10,407.96x = 81,760,386.01
  5. Step 5: Solve for x
    x = 81,760,386.01/10,407.96
  6. Step 6: Final answer
    x = 7,855.56

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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.