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Finding the Fourth Proportional to 10,306.64, 14,220.79 and 5,829.42

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Solution

The fourth proportional to 10,306.64, 14,220.79 and 5,829.42 is: 8,043.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.64 : 14,220.79 = 5,829.42 : x
  2. Step 2: Convert to fraction form
    10,306.64/14,220.79 = 5,829.42/x
  3. Step 3: Cross multiply
    10,306.64x = 14,220.79 × 5,829.42
  4. Step 4: Simplify right side
    10,306.64x = 82,898,957.64
  5. Step 5: Solve for x
    x = 82,898,957.64/10,306.64
  6. Step 6: Final answer
    x = 8,043.26

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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.