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Finding the Fourth Proportional to 10,829.97, 14,941.97 and 6,353.91

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Solution

The fourth proportional to 10,829.97, 14,941.97 and 6,353.91 is: 8,766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.97 : 14,941.97 = 6,353.91 : x
  2. Step 2: Convert to fraction form
    10,829.97/14,941.97 = 6,353.91/x
  3. Step 3: Cross multiply
    10,829.97x = 14,941.97 × 6,353.91
  4. Step 4: Simplify right side
    10,829.97x = 94,939,924.66
  5. Step 5: Solve for x
    x = 94,939,924.66/10,829.97
  6. Step 6: Final answer
    x = 8,766.41

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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.