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Finding the Fourth Proportional to 10,673.30, 14,729.16 and 5,957.58

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Solution

The fourth proportional to 10,673.30, 14,729.16 and 5,957.58 is: 8,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.30 : 14,729.16 = 5,957.58 : x
  2. Step 2: Convert to fraction form
    10,673.30/14,729.16 = 5,957.58/x
  3. Step 3: Cross multiply
    10,673.30x = 14,729.16 × 5,957.58
  4. Step 4: Simplify right side
    10,673.30x = 87,750,149.03
  5. Step 5: Solve for x
    x = 87,750,149.03/10,673.30
  6. Step 6: Final answer
    x = 8,221.46

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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.