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Finding the Fourth Proportional to 10,180.64, 15,271.17 and 6,692.90

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Solution

The fourth proportional to 10,180.64, 15,271.17 and 6,692.90 is: 10,039.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180.64 : 15,271.17 = 6,692.90 : x
  2. Step 2: Convert to fraction form
    10,180.64/15,271.17 = 6,692.90/x
  3. Step 3: Cross multiply
    10,180.64x = 15,271.17 × 6,692.90
  4. Step 4: Simplify right side
    10,180.64x = 102,208,312.24
  5. Step 5: Solve for x
    x = 102,208,312.24/10,180.64
  6. Step 6: Final answer
    x = 10,039.48

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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.