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Finding the Fourth Proportional to 8,559.69, 11,811.50 and 4,782.53

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Solution

The fourth proportional to 8,559.69, 11,811.50 and 4,782.53 is: 6,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,559.69 : 11,811.50 = 4,782.53 : x
  2. Step 2: Convert to fraction form
    8,559.69/11,811.50 = 4,782.53/x
  3. Step 3: Cross multiply
    8,559.69x = 11,811.50 × 4,782.53
  4. Step 4: Simplify right side
    8,559.69x = 56,488,770.12
  5. Step 5: Solve for x
    x = 56,488,770.12/8,559.69
  6. Step 6: Final answer
    x = 6,599.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.