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Finding the Fourth Proportional to 10,626.84, 14,665.08 and 5,911.14

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Solution

The fourth proportional to 10,626.84, 14,665.08 and 5,911.14 is: 8,157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,626.84 : 14,665.08 = 5,911.14 : x
  2. Step 2: Convert to fraction form
    10,626.84/14,665.08 = 5,911.14/x
  3. Step 3: Cross multiply
    10,626.84x = 14,665.08 × 5,911.14
  4. Step 4: Simplify right side
    10,626.84x = 86,687,340.99
  5. Step 5: Solve for x
    x = 86,687,340.99/10,626.84
  6. Step 6: Final answer
    x = 8,157.40

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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.