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Finding the Fourth Proportional to 10,427.00, 14,386.39 and 5,949.14

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Solution

The fourth proportional to 10,427.00, 14,386.39 and 5,949.14 is: 8,208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.00 : 14,386.39 = 5,949.14 : x
  2. Step 2: Convert to fraction form
    10,427.00/14,386.39 = 5,949.14/x
  3. Step 3: Cross multiply
    10,427.00x = 14,386.39 × 5,949.14
  4. Step 4: Simplify right side
    10,427.00x = 85,586,561.40
  5. Step 5: Solve for x
    x = 85,586,561.40/10,427.00
  6. Step 6: Final answer
    x = 8,208.17

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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.