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Finding the Fourth Proportional to 10,305.24, 14,221.54 and 5,828.90

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Solution

The fourth proportional to 10,305.24, 14,221.54 and 5,828.90 is: 8,044.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.24 : 14,221.54 = 5,828.90 : x
  2. Step 2: Convert to fraction form
    10,305.24/14,221.54 = 5,828.90/x
  3. Step 3: Cross multiply
    10,305.24x = 14,221.54 × 5,828.90
  4. Step 4: Simplify right side
    10,305.24x = 82,895,934.51
  5. Step 5: Solve for x
    x = 82,895,934.51/10,305.24
  6. Step 6: Final answer
    x = 8,044.06

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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.