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Finding the Fourth Proportional to 11,463.68, 15,821.44 and 6,496

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Solution

The fourth proportional to 11,463.68, 15,821.44 and 6,496 is: 8,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.68 : 15,821.44 = 6,496 : x
  2. Step 2: Convert to fraction form
    11,463.68/15,821.44 = 6,496/x
  3. Step 3: Cross multiply
    11,463.68x = 15,821.44 × 6,496
  4. Step 4: Simplify right side
    11,463.68x = 102,776,074.24
  5. Step 5: Solve for x
    x = 102,776,074.24/11,463.68
  6. Step 6: Final answer
    x = 8,965.36

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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.