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Finding the Fourth Proportional to 8,641.58, 11,923.26 and 4,864

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Solution

The fourth proportional to 8,641.58, 11,923.26 and 4,864 is: 6,711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.58 : 11,923.26 = 4,864 : x
  2. Step 2: Convert to fraction form
    8,641.58/11,923.26 = 4,864/x
  3. Step 3: Cross multiply
    8,641.58x = 11,923.26 × 4,864
  4. Step 4: Simplify right side
    8,641.58x = 57,994,736.64
  5. Step 5: Solve for x
    x = 57,994,736.64/8,641.58
  6. Step 6: Final answer
    x = 6,711.13

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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.