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Finding the Fourth Proportional to 11,424.28, 15,765.50 and 6,456.28

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Solution

The fourth proportional to 11,424.28, 15,765.50 and 6,456.28 is: 8,909.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.28 : 15,765.50 = 6,456.28 : x
  2. Step 2: Convert to fraction form
    11,424.28/15,765.50 = 6,456.28/x
  3. Step 3: Cross multiply
    11,424.28x = 15,765.50 × 6,456.28
  4. Step 4: Simplify right side
    11,424.28x = 101,786,482.34
  5. Step 5: Solve for x
    x = 101,786,482.34/11,424.28
  6. Step 6: Final answer
    x = 8,909.66

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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.