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Finding the Fourth Proportional to 10,085.76, 13,917.90 and 5,836.14

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Solution

The fourth proportional to 10,085.76, 13,917.90 and 5,836.14 is: 8,053.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.76 : 13,917.90 = 5,836.14 : x
  2. Step 2: Convert to fraction form
    10,085.76/13,917.90 = 5,836.14/x
  3. Step 3: Cross multiply
    10,085.76x = 13,917.90 × 5,836.14
  4. Step 4: Simplify right side
    10,085.76x = 81,226,812.91
  5. Step 5: Solve for x
    x = 81,226,812.91/10,085.76
  6. Step 6: Final answer
    x = 8,053.61

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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.