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Finding the Fourth Proportional to 10,673.06, 14,729.02 and 5,957.24

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Solution

The fourth proportional to 10,673.06, 14,729.02 and 5,957.24 is: 8,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.06 : 14,729.02 = 5,957.24 : x
  2. Step 2: Convert to fraction form
    10,673.06/14,729.02 = 5,957.24/x
  3. Step 3: Cross multiply
    10,673.06x = 14,729.02 × 5,957.24
  4. Step 4: Simplify right side
    10,673.06x = 87,744,307.10
  5. Step 5: Solve for x
    x = 87,744,307.10/10,673.06
  6. Step 6: Final answer
    x = 8,221.10

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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.