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Finding the Fourth Proportional to 8,683.84, 11,984.44 and 4,907.70

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Solution

The fourth proportional to 8,683.84, 11,984.44 and 4,907.70 is: 6,773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.84 : 11,984.44 = 4,907.70 : x
  2. Step 2: Convert to fraction form
    8,683.84/11,984.44 = 4,907.70/x
  3. Step 3: Cross multiply
    8,683.84x = 11,984.44 × 4,907.70
  4. Step 4: Simplify right side
    8,683.84x = 58,816,036.19
  5. Step 5: Solve for x
    x = 58,816,036.19/8,683.84
  6. Step 6: Final answer
    x = 6,773.04

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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.