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Finding the Fourth Proportional to 8,684.36, 11,984.88 and 4,907.68

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Solution

The fourth proportional to 8,684.36, 11,984.88 and 4,907.68 is: 6,772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.36 : 11,984.88 = 4,907.68 : x
  2. Step 2: Convert to fraction form
    8,684.36/11,984.88 = 4,907.68/x
  3. Step 3: Cross multiply
    8,684.36x = 11,984.88 × 4,907.68
  4. Step 4: Simplify right side
    8,684.36x = 58,817,925.92
  5. Step 5: Solve for x
    x = 58,817,925.92/8,684.36
  6. Step 6: Final answer
    x = 6,772.86

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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.