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Finding the Fourth Proportional to 8,284.68, 11,427.21 and 5,894.10

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Solution

The fourth proportional to 8,284.68, 11,427.21 and 5,894.10 is: 8,129.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.68 : 11,427.21 = 5,894.10 : x
  2. Step 2: Convert to fraction form
    8,284.68/11,427.21 = 5,894.10/x
  3. Step 3: Cross multiply
    8,284.68x = 11,427.21 × 5,894.10
  4. Step 4: Simplify right side
    8,284.68x = 67,353,118.46
  5. Step 5: Solve for x
    x = 67,353,118.46/8,284.68
  6. Step 6: Final answer
    x = 8,129.84

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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.