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Finding the Fourth Proportional to 8,671.68, 11,967 and 4,692.86

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Solution

The fourth proportional to 8,671.68, 11,967 and 4,692.86 is: 6,476.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.68 : 11,967 = 4,692.86 : x
  2. Step 2: Convert to fraction form
    8,671.68/11,967 = 4,692.86/x
  3. Step 3: Cross multiply
    8,671.68x = 11,967 × 4,692.86
  4. Step 4: Simplify right side
    8,671.68x = 56,159,455.62
  5. Step 5: Solve for x
    x = 56,159,455.62/8,671.68
  6. Step 6: Final answer
    x = 6,476.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.