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Finding the Fourth Proportional to 10,065.84, 13,888.74 and 6,086.17

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Solution

The fourth proportional to 10,065.84, 13,888.74 and 6,086.17 is: 8,397.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.84 : 13,888.74 = 6,086.17 : x
  2. Step 2: Convert to fraction form
    10,065.84/13,888.74 = 6,086.17/x
  3. Step 3: Cross multiply
    10,065.84x = 13,888.74 × 6,086.17
  4. Step 4: Simplify right side
    10,065.84x = 84,529,232.73
  5. Step 5: Solve for x
    x = 84,529,232.73/10,065.84
  6. Step 6: Final answer
    x = 8,397.63

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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.