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Finding the Fourth Proportional to 10,504.84, 14,496.50 and 5,724.83

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Solution

The fourth proportional to 10,504.84, 14,496.50 and 5,724.83 is: 7,900.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.84 : 14,496.50 = 5,724.83 : x
  2. Step 2: Convert to fraction form
    10,504.84/14,496.50 = 5,724.83/x
  3. Step 3: Cross multiply
    10,504.84x = 14,496.50 × 5,724.83
  4. Step 4: Simplify right side
    10,504.84x = 82,989,933.23
  5. Step 5: Solve for x
    x = 82,989,933.23/10,504.84
  6. Step 6: Final answer
    x = 7,900.16

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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.