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Finding the Fourth Proportional to 8,326.99, 11,491.37 and 4,741.53

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Solution

The fourth proportional to 8,326.99, 11,491.37 and 4,741.53 is: 6,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.99 : 11,491.37 = 4,741.53 : x
  2. Step 2: Convert to fraction form
    8,326.99/11,491.37 = 4,741.53/x
  3. Step 3: Cross multiply
    8,326.99x = 11,491.37 × 4,741.53
  4. Step 4: Simplify right side
    8,326.99x = 54,486,675.60
  5. Step 5: Solve for x
    x = 54,486,675.60/8,326.99
  6. Step 6: Final answer
    x = 6,543.38

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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.