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Finding the Fourth Proportional to 10,798.83, 14,902.36 and 6,083.14

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Solution

The fourth proportional to 10,798.83, 14,902.36 and 6,083.14 is: 8,394.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.83 : 14,902.36 = 6,083.14 : x
  2. Step 2: Convert to fraction form
    10,798.83/14,902.36 = 6,083.14/x
  3. Step 3: Cross multiply
    10,798.83x = 14,902.36 × 6,083.14
  4. Step 4: Simplify right side
    10,798.83x = 90,653,142.21
  5. Step 5: Solve for x
    x = 90,653,142.21/10,798.83
  6. Step 6: Final answer
    x = 8,394.72

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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.