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Finding the Fourth Proportional to 10,505.06, 14,496.92 and 5,724.99

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Solution

The fourth proportional to 10,505.06, 14,496.92 and 5,724.99 is: 7,900.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.06 : 14,496.92 = 5,724.99 : x
  2. Step 2: Convert to fraction form
    10,505.06/14,496.92 = 5,724.99/x
  3. Step 3: Cross multiply
    10,505.06x = 14,496.92 × 5,724.99
  4. Step 4: Simplify right side
    10,505.06x = 82,994,693.41
  5. Step 5: Solve for x
    x = 82,994,693.41/10,505.06
  6. Step 6: Final answer
    x = 7,900.45

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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.