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Finding the Fourth Proportional to 10,304.93, 14,221.40 and 5,829.11

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Solution

The fourth proportional to 10,304.93, 14,221.40 and 5,829.11 is: 8,044.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.93 : 14,221.40 = 5,829.11 : x
  2. Step 2: Convert to fraction form
    10,304.93/14,221.40 = 5,829.11/x
  3. Step 3: Cross multiply
    10,304.93x = 14,221.40 × 5,829.11
  4. Step 4: Simplify right side
    10,304.93x = 82,898,104.95
  5. Step 5: Solve for x
    x = 82,898,104.95/10,304.93
  6. Step 6: Final answer
    x = 8,044.51

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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.