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Finding the Fourth Proportional to 8,188.96, 12,283.44 and 7,061.44

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Solution

The fourth proportional to 8,188.96, 12,283.44 and 7,061.44 is: 10,592.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.96 : 12,283.44 = 7,061.44 : x
  2. Step 2: Convert to fraction form
    8,188.96/12,283.44 = 7,061.44/x
  3. Step 3: Cross multiply
    8,188.96x = 12,283.44 × 7,061.44
  4. Step 4: Simplify right side
    8,188.96x = 86,738,774.55
  5. Step 5: Solve for x
    x = 86,738,774.55/8,188.96
  6. Step 6: Final answer
    x = 10,592.16

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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.