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Finding the Fourth Proportional to 7,577.85, 11,357.67 and 6,692.12

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Solution

The fourth proportional to 7,577.85, 11,357.67 and 6,692.12 is: 10,030.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.85 : 11,357.67 = 6,692.12 : x
  2. Step 2: Convert to fraction form
    7,577.85/11,357.67 = 6,692.12/x
  3. Step 3: Cross multiply
    7,577.85x = 11,357.67 × 6,692.12
  4. Step 4: Simplify right side
    7,577.85x = 76,006,863.82
  5. Step 5: Solve for x
    x = 76,006,863.82/7,577.85
  6. Step 6: Final answer
    x = 10,030.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.