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Finding the Fourth Proportional to 8,284.67, 12,416.61 and 4,955.38

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Solution

The fourth proportional to 8,284.67, 12,416.61 and 4,955.38 is: 7,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.67 : 12,416.61 = 4,955.38 : x
  2. Step 2: Convert to fraction form
    8,284.67/12,416.61 = 4,955.38/x
  3. Step 3: Cross multiply
    8,284.67x = 12,416.61 × 4,955.38
  4. Step 4: Simplify right side
    8,284.67x = 61,529,008.40
  5. Step 5: Solve for x
    x = 61,529,008.40/8,284.67
  6. Step 6: Final answer
    x = 7,426.85

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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.