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Finding the Fourth Proportional to 10,398.83, 14,350.37 and 5,683.11

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Solution

The fourth proportional to 10,398.83, 14,350.37 and 5,683.11 is: 7,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.83 : 14,350.37 = 5,683.11 : x
  2. Step 2: Convert to fraction form
    10,398.83/14,350.37 = 5,683.11/x
  3. Step 3: Cross multiply
    10,398.83x = 14,350.37 × 5,683.11
  4. Step 4: Simplify right side
    10,398.83x = 81,554,745.46
  5. Step 5: Solve for x
    x = 81,554,745.46/10,398.83
  6. Step 6: Final answer
    x = 7,842.68

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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.