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Finding the Fourth Proportional to 10,505.22, 14,497.15 and 5,724.81

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Solution

The fourth proportional to 10,505.22, 14,497.15 and 5,724.81 is: 7,900.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.22 : 14,497.15 = 5,724.81 : x
  2. Step 2: Convert to fraction form
    10,505.22/14,497.15 = 5,724.81/x
  3. Step 3: Cross multiply
    10,505.22x = 14,497.15 × 5,724.81
  4. Step 4: Simplify right side
    10,505.22x = 82,993,429.29
  5. Step 5: Solve for x
    x = 82,993,429.29/10,505.22
  6. Step 6: Final answer
    x = 7,900.21

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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.