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Finding the Fourth Proportional to 10,506.72, 15,760.36 and 3,486.72

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Solution

The fourth proportional to 10,506.72, 15,760.36 and 3,486.72 is: 5,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.72 : 15,760.36 = 3,486.72 : x
  2. Step 2: Convert to fraction form
    10,506.72/15,760.36 = 3,486.72/x
  3. Step 3: Cross multiply
    10,506.72x = 15,760.36 × 3,486.72
  4. Step 4: Simplify right side
    10,506.72x = 54,951,962.42
  5. Step 5: Solve for x
    x = 54,951,962.42/10,506.72
  6. Step 6: Final answer
    x = 5,230.17

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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.