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Finding the Fourth Proportional to 8,670.84, 11,965.78 and 4,692.00

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Solution

The fourth proportional to 8,670.84, 11,965.78 and 4,692.00 is: 6,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.84 : 11,965.78 = 4,692.00 : x
  2. Step 2: Convert to fraction form
    8,670.84/11,965.78 = 4,692.00/x
  3. Step 3: Cross multiply
    8,670.84x = 11,965.78 × 4,692.00
  4. Step 4: Simplify right side
    8,670.84x = 56,143,379.93
  5. Step 5: Solve for x
    x = 56,143,379.93/8,670.84
  6. Step 6: Final answer
    x = 6,474.96

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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.