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Finding the Fourth Proportional to 11,452.86, 15,804.45 and 6,416.69

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Solution

The fourth proportional to 11,452.86, 15,804.45 and 6,416.69 is: 8,854.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.86 : 15,804.45 = 6,416.69 : x
  2. Step 2: Convert to fraction form
    11,452.86/15,804.45 = 6,416.69/x
  3. Step 3: Cross multiply
    11,452.86x = 15,804.45 × 6,416.69
  4. Step 4: Simplify right side
    11,452.86x = 101,412,177.25
  5. Step 5: Solve for x
    x = 101,412,177.25/11,452.86
  6. Step 6: Final answer
    x = 8,854.75

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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.