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Finding the Fourth Proportional to 10,551.85, 14,559.96 and 5,836.17

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Solution

The fourth proportional to 10,551.85, 14,559.96 and 5,836.17 is: 8,053.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,551.85 : 14,559.96 = 5,836.17 : x
  2. Step 2: Convert to fraction form
    10,551.85/14,559.96 = 5,836.17/x
  3. Step 3: Cross multiply
    10,551.85x = 14,559.96 × 5,836.17
  4. Step 4: Simplify right side
    10,551.85x = 84,974,401.75
  5. Step 5: Solve for x
    x = 84,974,401.75/10,551.85
  6. Step 6: Final answer
    x = 8,053.03

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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.