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Finding the Fourth Proportional to 8,535.86, 11,780.19 and 4,708.25

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Solution

The fourth proportional to 8,535.86, 11,780.19 and 4,708.25 is: 6,497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.86 : 11,780.19 = 4,708.25 : x
  2. Step 2: Convert to fraction form
    8,535.86/11,780.19 = 4,708.25/x
  3. Step 3: Cross multiply
    8,535.86x = 11,780.19 × 4,708.25
  4. Step 4: Simplify right side
    8,535.86x = 55,464,020.67
  5. Step 5: Solve for x
    x = 55,464,020.67/8,535.86
  6. Step 6: Final answer
    x = 6,497.77

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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.