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Finding the Fourth Proportional to 7,130.86, 10,692.90 and 4,170.16

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Solution

The fourth proportional to 7,130.86, 10,692.90 and 4,170.16 is: 6,253.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.86 : 10,692.90 = 4,170.16 : x
  2. Step 2: Convert to fraction form
    7,130.86/10,692.90 = 4,170.16/x
  3. Step 3: Cross multiply
    7,130.86x = 10,692.90 × 4,170.16
  4. Step 4: Simplify right side
    7,130.86x = 44,591,103.86
  5. Step 5: Solve for x
    x = 44,591,103.86/7,130.86
  6. Step 6: Final answer
    x = 6,253.26

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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.