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Finding the Fourth Proportional to 10,349.85, 15,499.98 and 5,662.83

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Solution

The fourth proportional to 10,349.85, 15,499.98 and 5,662.83 is: 8,480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.85 : 15,499.98 = 5,662.83 : x
  2. Step 2: Convert to fraction form
    10,349.85/15,499.98 = 5,662.83/x
  3. Step 3: Cross multiply
    10,349.85x = 15,499.98 × 5,662.83
  4. Step 4: Simplify right side
    10,349.85x = 87,773,751.74
  5. Step 5: Solve for x
    x = 87,773,751.74/10,349.85
  6. Step 6: Final answer
    x = 8,480.68

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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.