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Finding the Fourth Proportional to 8,220, 11,346.48 and 4,908

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Solution

The fourth proportional to 8,220, 11,346.48 and 4,908 is: 6,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220 : 11,346.48 = 4,908 : x
  2. Step 2: Convert to fraction form
    8,220/11,346.48 = 4,908/x
  3. Step 3: Cross multiply
    8,220x = 11,346.48 × 4,908
  4. Step 4: Simplify right side
    8,220x = 55,688,523.84
  5. Step 5: Solve for x
    x = 55,688,523.84/8,220
  6. Step 6: Final answer
    x = 6,774.76

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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.