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Finding the Fourth Proportional to 8,284.16, 11,431.52 and 5,259.05

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Solution

The fourth proportional to 8,284.16, 11,431.52 and 5,259.05 is: 7,257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.16 : 11,431.52 = 5,259.05 : x
  2. Step 2: Convert to fraction form
    8,284.16/11,431.52 = 5,259.05/x
  3. Step 3: Cross multiply
    8,284.16x = 11,431.52 × 5,259.05
  4. Step 4: Simplify right side
    8,284.16x = 60,118,939.15
  5. Step 5: Solve for x
    x = 60,118,939.15/8,284.16
  6. Step 6: Final answer
    x = 7,257.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.