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Finding the Fourth Proportional to 8,142.17, 12,222.99 and 4,856.81

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Solution

The fourth proportional to 8,142.17, 12,222.99 and 4,856.81 is: 7,291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.17 : 12,222.99 = 4,856.81 : x
  2. Step 2: Convert to fraction form
    8,142.17/12,222.99 = 4,856.81/x
  3. Step 3: Cross multiply
    8,142.17x = 12,222.99 × 4,856.81
  4. Step 4: Simplify right side
    8,142.17x = 59,364,678.95
  5. Step 5: Solve for x
    x = 59,364,678.95/8,142.17
  6. Step 6: Final answer
    x = 7,291.02

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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.