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Finding the Fourth Proportional to 10,505.41, 14,497.77 and 5,790

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Solution

The fourth proportional to 10,505.41, 14,497.77 and 5,790 is: 7,990.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.41 : 14,497.77 = 5,790 : x
  2. Step 2: Convert to fraction form
    10,505.41/14,497.77 = 5,790/x
  3. Step 3: Cross multiply
    10,505.41x = 14,497.77 × 5,790
  4. Step 4: Simplify right side
    10,505.41x = 83,942,088.30
  5. Step 5: Solve for x
    x = 83,942,088.30/10,505.41
  6. Step 6: Final answer
    x = 7,990.37

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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.