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Finding the Fourth Proportional to 10,842.14, 16,262.94 and 4,998.75

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Solution

The fourth proportional to 10,842.14, 16,262.94 and 4,998.75 is: 7,498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.14 : 16,262.94 = 4,998.75 : x
  2. Step 2: Convert to fraction form
    10,842.14/16,262.94 = 4,998.75/x
  3. Step 3: Cross multiply
    10,842.14x = 16,262.94 × 4,998.75
  4. Step 4: Simplify right side
    10,842.14x = 81,294,329.08
  5. Step 5: Solve for x
    x = 81,294,329.08/10,842.14
  6. Step 6: Final answer
    x = 7,498.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.