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Finding the Fourth Proportional to 6,111.67, 8,437.89 and 4,692.64

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Solution

The fourth proportional to 6,111.67, 8,437.89 and 4,692.64 is: 6,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.67 : 8,437.89 = 4,692.64 : x
  2. Step 2: Convert to fraction form
    6,111.67/8,437.89 = 4,692.64/x
  3. Step 3: Cross multiply
    6,111.67x = 8,437.89 × 4,692.64
  4. Step 4: Simplify right side
    6,111.67x = 39,595,980.13
  5. Step 5: Solve for x
    x = 39,595,980.13/6,111.67
  6. Step 6: Final answer
    x = 6,478.75

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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.