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Finding the Fourth Proportional to 10,220.46, 15,304.46 and 6,700.07

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Solution

The fourth proportional to 10,220.46, 15,304.46 and 6,700.07 is: 10,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.46 : 15,304.46 = 6,700.07 : x
  2. Step 2: Convert to fraction form
    10,220.46/15,304.46 = 6,700.07/x
  3. Step 3: Cross multiply
    10,220.46x = 15,304.46 × 6,700.07
  4. Step 4: Simplify right side
    10,220.46x = 102,540,843.29
  5. Step 5: Solve for x
    x = 102,540,843.29/10,220.46
  6. Step 6: Final answer
    x = 10,032.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.