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Finding the Fourth Proportional to 10,019.08, 13,813.50 and 6,869.80

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Solution

The fourth proportional to 10,019.08, 13,813.50 and 6,869.80 is: 9,471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.08 : 13,813.50 = 6,869.80 : x
  2. Step 2: Convert to fraction form
    10,019.08/13,813.50 = 6,869.80/x
  3. Step 3: Cross multiply
    10,019.08x = 13,813.50 × 6,869.80
  4. Step 4: Simplify right side
    10,019.08x = 94,895,982.30
  5. Step 5: Solve for x
    x = 94,895,982.30/10,019.08
  6. Step 6: Final answer
    x = 9,471.53

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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.