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Finding the Fourth Proportional to 8,774.76, 12,105.50 and 5,749

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Solution

The fourth proportional to 8,774.76, 12,105.50 and 5,749 is: 7,931.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,774.76 : 12,105.50 = 5,749 : x
  2. Step 2: Convert to fraction form
    8,774.76/12,105.50 = 5,749/x
  3. Step 3: Cross multiply
    8,774.76x = 12,105.50 × 5,749
  4. Step 4: Simplify right side
    8,774.76x = 69,594,519.50
  5. Step 5: Solve for x
    x = 69,594,519.50/8,774.76
  6. Step 6: Final answer
    x = 7,931.22

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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.