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Finding the Fourth Proportional to 8,531.71, 11,774.44 and 4,756.09

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Solution

The fourth proportional to 8,531.71, 11,774.44 and 4,756.09 is: 6,563.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.71 : 11,774.44 = 4,756.09 : x
  2. Step 2: Convert to fraction form
    8,531.71/11,774.44 = 4,756.09/x
  3. Step 3: Cross multiply
    8,531.71x = 11,774.44 × 4,756.09
  4. Step 4: Simplify right side
    8,531.71x = 56,000,296.34
  5. Step 5: Solve for x
    x = 56,000,296.34/8,531.71
  6. Step 6: Final answer
    x = 6,563.78

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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.