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Finding the Fourth Proportional to 10,388.99, 14,337.05 and 5,673.30

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Solution

The fourth proportional to 10,388.99, 14,337.05 and 5,673.30 is: 7,829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.99 : 14,337.05 = 5,673.30 : x
  2. Step 2: Convert to fraction form
    10,388.99/14,337.05 = 5,673.30/x
  3. Step 3: Cross multiply
    10,388.99x = 14,337.05 × 5,673.30
  4. Step 4: Simplify right side
    10,388.99x = 81,338,357.40
  5. Step 5: Solve for x
    x = 81,338,357.40/10,388.99
  6. Step 6: Final answer
    x = 7,829.29

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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.