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Finding the Fourth Proportional to 10,823.04, 16,241.04 and 3,898.08

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Solution

The fourth proportional to 10,823.04, 16,241.04 and 3,898.08 is: 5,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.04 : 16,241.04 = 3,898.08 : x
  2. Step 2: Convert to fraction form
    10,823.04/16,241.04 = 3,898.08/x
  3. Step 3: Cross multiply
    10,823.04x = 16,241.04 × 3,898.08
  4. Step 4: Simplify right side
    10,823.04x = 63,308,873.20
  5. Step 5: Solve for x
    x = 63,308,873.20/10,823.04
  6. Step 6: Final answer
    x = 5,849.45

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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.