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Finding the Fourth Proportional to 8,319.99, 11,462.08 and 5,797.53

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Solution

The fourth proportional to 8,319.99, 11,462.08 and 5,797.53 is: 7,987.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.99 : 11,462.08 = 5,797.53 : x
  2. Step 2: Convert to fraction form
    8,319.99/11,462.08 = 5,797.53/x
  3. Step 3: Cross multiply
    8,319.99x = 11,462.08 × 5,797.53
  4. Step 4: Simplify right side
    8,319.99x = 66,451,752.66
  5. Step 5: Solve for x
    x = 66,451,752.66/8,319.99
  6. Step 6: Final answer
    x = 7,987.00

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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.