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Finding the Fourth Proportional to 10,305.93, 14,222.09 and 5,590.23

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Solution

The fourth proportional to 10,305.93, 14,222.09 and 5,590.23 is: 7,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.93 : 14,222.09 = 5,590.23 : x
  2. Step 2: Convert to fraction form
    10,305.93/14,222.09 = 5,590.23/x
  3. Step 3: Cross multiply
    10,305.93x = 14,222.09 × 5,590.23
  4. Step 4: Simplify right side
    10,305.93x = 79,504,726.23
  5. Step 5: Solve for x
    x = 79,504,726.23/10,305.93
  6. Step 6: Final answer
    x = 7,714.46

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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.