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Finding the Fourth Proportional to 8,466.35, 11,679.71 and 4,927.50

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Solution

The fourth proportional to 8,466.35, 11,679.71 and 4,927.50 is: 6,797.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.35 : 11,679.71 = 4,927.50 : x
  2. Step 2: Convert to fraction form
    8,466.35/11,679.71 = 4,927.50/x
  3. Step 3: Cross multiply
    8,466.35x = 11,679.71 × 4,927.50
  4. Step 4: Simplify right side
    8,466.35x = 57,551,746.39
  5. Step 5: Solve for x
    x = 57,551,746.39/8,466.35
  6. Step 6: Final answer
    x = 6,797.71

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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.