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Finding the Fourth Proportional to 35,215.97, 52,823.18 and 8,562.11

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Solution

The fourth proportional to 35,215.97, 52,823.18 and 8,562.11 is: 12,842.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,215.97 : 52,823.18 = 8,562.11 : x
  2. Step 2: Convert to fraction form
    35,215.97/52,823.18 = 8,562.11/x
  3. Step 3: Cross multiply
    35,215.97x = 52,823.18 × 8,562.11
  4. Step 4: Simplify right side
    35,215.97x = 452,277,635.00
  5. Step 5: Solve for x
    x = 452,277,635.00/35,215.97
  6. Step 6: Final answer
    x = 12,842.97

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Why These Related Problems?

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