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Finding the Fourth Proportional to 8,570.34, 12,829.59 and 7,922.34

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Solution

The fourth proportional to 8,570.34, 12,829.59 and 7,922.34 is: 11,859.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.34 : 12,829.59 = 7,922.34 : x
  2. Step 2: Convert to fraction form
    8,570.34/12,829.59 = 7,922.34/x
  3. Step 3: Cross multiply
    8,570.34x = 12,829.59 × 7,922.34
  4. Step 4: Simplify right side
    8,570.34x = 101,640,374.04
  5. Step 5: Solve for x
    x = 101,640,374.04/8,570.34
  6. Step 6: Final answer
    x = 11,859.55

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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.