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Finding the Fourth Proportional to 10,085.14, 13,917.95 and 5,836.40

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Solution

The fourth proportional to 10,085.14, 13,917.95 and 5,836.40 is: 8,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.14 : 13,917.95 = 5,836.40 : x
  2. Step 2: Convert to fraction form
    10,085.14/13,917.95 = 5,836.40/x
  3. Step 3: Cross multiply
    10,085.14x = 13,917.95 × 5,836.40
  4. Step 4: Simplify right side
    10,085.14x = 81,230,710.19
  5. Step 5: Solve for x
    x = 81,230,710.19/10,085.14
  6. Step 6: Final answer
    x = 8,054.49

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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.