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Finding the Fourth Proportional to 8,557.86, 12,857.34 and 8,085.81

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Solution

The fourth proportional to 8,557.86, 12,857.34 and 8,085.81 is: 12,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,557.86 : 12,857.34 = 8,085.81 : x
  2. Step 2: Convert to fraction form
    8,557.86/12,857.34 = 8,085.81/x
  3. Step 3: Cross multiply
    8,557.86x = 12,857.34 × 8,085.81
  4. Step 4: Simplify right side
    8,557.86x = 103,962,008.35
  5. Step 5: Solve for x
    x = 103,962,008.35/8,557.86
  6. Step 6: Final answer
    x = 12,148.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.