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Finding the Fourth Proportional to 8,578.51, 11,838.50 and 6,692.22

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Solution

The fourth proportional to 8,578.51, 11,838.50 and 6,692.22 is: 9,235.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.51 : 11,838.50 = 6,692.22 : x
  2. Step 2: Convert to fraction form
    8,578.51/11,838.50 = 6,692.22/x
  3. Step 3: Cross multiply
    8,578.51x = 11,838.50 × 6,692.22
  4. Step 4: Simplify right side
    8,578.51x = 79,225,875.75
  5. Step 5: Solve for x
    x = 79,225,875.75/8,578.51
  6. Step 6: Final answer
    x = 9,235.39

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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.