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Finding the Fourth Proportional to 10,299.80, 15,448.63 and 6,989.30

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Solution

The fourth proportional to 10,299.80, 15,448.63 and 6,989.30 is: 10,483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.80 : 15,448.63 = 6,989.30 : x
  2. Step 2: Convert to fraction form
    10,299.80/15,448.63 = 6,989.30/x
  3. Step 3: Cross multiply
    10,299.80x = 15,448.63 × 6,989.30
  4. Step 4: Simplify right side
    10,299.80x = 107,975,109.66
  5. Step 5: Solve for x
    x = 107,975,109.66/10,299.80
  6. Step 6: Final answer
    x = 10,483.22

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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.