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Finding the Fourth Proportional to 10,835.14, 14,952.48 and 5,867.14

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Solution

The fourth proportional to 10,835.14, 14,952.48 and 5,867.14 is: 8,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.14 : 14,952.48 = 5,867.14 : x
  2. Step 2: Convert to fraction form
    10,835.14/14,952.48 = 5,867.14/x
  3. Step 3: Cross multiply
    10,835.14x = 14,952.48 × 5,867.14
  4. Step 4: Simplify right side
    10,835.14x = 87,728,293.51
  5. Step 5: Solve for x
    x = 87,728,293.51/10,835.14
  6. Step 6: Final answer
    x = 8,096.65

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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.