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Finding the Fourth Proportional to 8,321.49, 11,482.70 and 4,785.84

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Solution

The fourth proportional to 8,321.49, 11,482.70 and 4,785.84 is: 6,603.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.49 : 11,482.70 = 4,785.84 : x
  2. Step 2: Convert to fraction form
    8,321.49/11,482.70 = 4,785.84/x
  3. Step 3: Cross multiply
    8,321.49x = 11,482.70 × 4,785.84
  4. Step 4: Simplify right side
    8,321.49x = 54,954,341.04
  5. Step 5: Solve for x
    x = 54,954,341.04/8,321.49
  6. Step 6: Final answer
    x = 6,603.91

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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.