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Finding the Fourth Proportional to 8,441.42, 11,648.81 and 4,904.35

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Solution

The fourth proportional to 8,441.42, 11,648.81 and 4,904.35 is: 6,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.42 : 11,648.81 = 4,904.35 : x
  2. Step 2: Convert to fraction form
    8,441.42/11,648.81 = 4,904.35/x
  3. Step 3: Cross multiply
    8,441.42x = 11,648.81 × 4,904.35
  4. Step 4: Simplify right side
    8,441.42x = 57,129,824.46
  5. Step 5: Solve for x
    x = 57,129,824.46/8,441.42
  6. Step 6: Final answer
    x = 6,767.80

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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.