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Finding the Fourth Proportional to 8,436.84, 11,642.64 and 4,659.92

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Solution

The fourth proportional to 8,436.84, 11,642.64 and 4,659.92 is: 6,430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.84 : 11,642.64 = 4,659.92 : x
  2. Step 2: Convert to fraction form
    8,436.84/11,642.64 = 4,659.92/x
  3. Step 3: Cross multiply
    8,436.84x = 11,642.64 × 4,659.92
  4. Step 4: Simplify right side
    8,436.84x = 54,253,770.99
  5. Step 5: Solve for x
    x = 54,253,770.99/8,436.84
  6. Step 6: Final answer
    x = 6,430.58

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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.