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Finding the Fourth Proportional to 10,521.72, 14,519.88 and 5,805.96

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Solution

The fourth proportional to 10,521.72, 14,519.88 and 5,805.96 is: 8,012.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.72 : 14,519.88 = 5,805.96 : x
  2. Step 2: Convert to fraction form
    10,521.72/14,519.88 = 5,805.96/x
  3. Step 3: Cross multiply
    10,521.72x = 14,519.88 × 5,805.96
  4. Step 4: Simplify right side
    10,521.72x = 84,301,842.48
  5. Step 5: Solve for x
    x = 84,301,842.48/10,521.72
  6. Step 6: Final answer
    x = 8,012.17

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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.