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Finding the Fourth Proportional to 8,559.99, 11,814.14 and 5,203.85

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Solution

The fourth proportional to 8,559.99, 11,814.14 and 5,203.85 is: 7,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,559.99 : 11,814.14 = 5,203.85 : x
  2. Step 2: Convert to fraction form
    8,559.99/11,814.14 = 5,203.85/x
  3. Step 3: Cross multiply
    8,559.99x = 11,814.14 × 5,203.85
  4. Step 4: Simplify right side
    8,559.99x = 61,478,986.42
  5. Step 5: Solve for x
    x = 61,478,986.42/8,559.99
  6. Step 6: Final answer
    x = 7,182.14

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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.