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Finding the Fourth Proportional to 8,533.86, 12,846.06 and 6,085.62

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Solution

The fourth proportional to 8,533.86, 12,846.06 and 6,085.62 is: 9,160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.86 : 12,846.06 = 6,085.62 : x
  2. Step 2: Convert to fraction form
    8,533.86/12,846.06 = 6,085.62/x
  3. Step 3: Cross multiply
    8,533.86x = 12,846.06 × 6,085.62
  4. Step 4: Simplify right side
    8,533.86x = 78,176,239.66
  5. Step 5: Solve for x
    x = 78,176,239.66/8,533.86
  6. Step 6: Final answer
    x = 9,160.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.