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Finding the Fourth Proportional to 10,522.69, 14,521.12 and 5,986.20

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Solution

The fourth proportional to 10,522.69, 14,521.12 and 5,986.20 is: 8,260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.69 : 14,521.12 = 5,986.20 : x
  2. Step 2: Convert to fraction form
    10,522.69/14,521.12 = 5,986.20/x
  3. Step 3: Cross multiply
    10,522.69x = 14,521.12 × 5,986.20
  4. Step 4: Simplify right side
    10,522.69x = 86,926,328.54
  5. Step 5: Solve for x
    x = 86,926,328.54/10,522.69
  6. Step 6: Final answer
    x = 8,260.85

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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.