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Finding the Fourth Proportional to 10,424.84, 14,386.34 and 5,949.99

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Solution

The fourth proportional to 10,424.84, 14,386.34 and 5,949.99 is: 8,211.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.84 : 14,386.34 = 5,949.99 : x
  2. Step 2: Convert to fraction form
    10,424.84/14,386.34 = 5,949.99/x
  3. Step 3: Cross multiply
    10,424.84x = 14,386.34 × 5,949.99
  4. Step 4: Simplify right side
    10,424.84x = 85,598,594.01
  5. Step 5: Solve for x
    x = 85,598,594.01/10,424.84
  6. Step 6: Final answer
    x = 8,211.03

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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.