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Finding the Fourth Proportional to 7,747.85, 10,692.35 and 4,390.63

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Solution

The fourth proportional to 7,747.85, 10,692.35 and 4,390.63 is: 6,059.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.85 : 10,692.35 = 4,390.63 : x
  2. Step 2: Convert to fraction form
    7,747.85/10,692.35 = 4,390.63/x
  3. Step 3: Cross multiply
    7,747.85x = 10,692.35 × 4,390.63
  4. Step 4: Simplify right side
    7,747.85x = 46,946,175.23
  5. Step 5: Solve for x
    x = 46,946,175.23/7,747.85
  6. Step 6: Final answer
    x = 6,059.25

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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.