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Finding the Fourth Proportional to 8,533.22, 11,774.49 and 4,806.50

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Solution

The fourth proportional to 8,533.22, 11,774.49 and 4,806.50 is: 6,632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.22 : 11,774.49 = 4,806.50 : x
  2. Step 2: Convert to fraction form
    8,533.22/11,774.49 = 4,806.50/x
  3. Step 3: Cross multiply
    8,533.22x = 11,774.49 × 4,806.50
  4. Step 4: Simplify right side
    8,533.22x = 56,594,086.19
  5. Step 5: Solve for x
    x = 56,594,086.19/8,533.22
  6. Step 6: Final answer
    x = 6,632.21

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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.