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Finding the Fourth Proportional to 10,519.83, 14,487.83 and 10,290.20

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Solution

The fourth proportional to 10,519.83, 14,487.83 and 10,290.20 is: 14,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.83 : 14,487.83 = 10,290.20 : x
  2. Step 2: Convert to fraction form
    10,519.83/14,487.83 = 10,290.20/x
  3. Step 3: Cross multiply
    10,519.83x = 14,487.83 × 10,290.20
  4. Step 4: Simplify right side
    10,519.83x = 149,082,582.96
  5. Step 5: Solve for x
    x = 149,082,582.96/10,519.83
  6. Step 6: Final answer
    x = 14,171.58

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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.