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Finding the Fourth Proportional to 8,291.53, 11,433.54 and 6,403.42

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Solution

The fourth proportional to 8,291.53, 11,433.54 and 6,403.42 is: 8,829.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.53 : 11,433.54 = 6,403.42 : x
  2. Step 2: Convert to fraction form
    8,291.53/11,433.54 = 6,403.42/x
  3. Step 3: Cross multiply
    8,291.53x = 11,433.54 × 6,403.42
  4. Step 4: Simplify right side
    8,291.53x = 73,213,669.52
  5. Step 5: Solve for x
    x = 73,213,669.52/8,291.53
  6. Step 6: Final answer
    x = 8,829.94

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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.