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Finding the Fourth Proportional to 10,433.96, 14,398.78 and 5,718.14

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Solution

The fourth proportional to 10,433.96, 14,398.78 and 5,718.14 is: 7,890.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.96 : 14,398.78 = 5,718.14 : x
  2. Step 2: Convert to fraction form
    10,433.96/14,398.78 = 5,718.14/x
  3. Step 3: Cross multiply
    10,433.96x = 14,398.78 × 5,718.14
  4. Step 4: Simplify right side
    10,433.96x = 82,334,239.87
  5. Step 5: Solve for x
    x = 82,334,239.87/10,433.96
  6. Step 6: Final answer
    x = 7,890.99

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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.