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Finding the Fourth Proportional to 8,744.40, 12,071.16 and 5,208.84

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Solution

The fourth proportional to 8,744.40, 12,071.16 and 5,208.84 is: 7,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,744.40 : 12,071.16 = 5,208.84 : x
  2. Step 2: Convert to fraction form
    8,744.40/12,071.16 = 5,208.84/x
  3. Step 3: Cross multiply
    8,744.40x = 12,071.16 × 5,208.84
  4. Step 4: Simplify right side
    8,744.40x = 62,876,741.05
  5. Step 5: Solve for x
    x = 62,876,741.05/8,744.40
  6. Step 6: Final answer
    x = 7,190.52

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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.