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Finding the Fourth Proportional to 7,746.42, 10,692.50 and 4,951.92

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Solution

The fourth proportional to 7,746.42, 10,692.50 and 4,951.92 is: 6,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.42 : 10,692.50 = 4,951.92 : x
  2. Step 2: Convert to fraction form
    7,746.42/10,692.50 = 4,951.92/x
  3. Step 3: Cross multiply
    7,746.42x = 10,692.50 × 4,951.92
  4. Step 4: Simplify right side
    7,746.42x = 52,948,404.60
  5. Step 5: Solve for x
    x = 52,948,404.60/7,746.42
  6. Step 6: Final answer
    x = 6,835.21

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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.