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Finding the Fourth Proportional to 7,271.40, 10,031.90 and 4,125.76

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Solution

The fourth proportional to 7,271.40, 10,031.90 and 4,125.76 is: 5,692.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.40 : 10,031.90 = 4,125.76 : x
  2. Step 2: Convert to fraction form
    7,271.40/10,031.90 = 4,125.76/x
  3. Step 3: Cross multiply
    7,271.40x = 10,031.90 × 4,125.76
  4. Step 4: Simplify right side
    7,271.40x = 41,389,211.74
  5. Step 5: Solve for x
    x = 41,389,211.74/7,271.40
  6. Step 6: Final answer
    x = 5,692.06

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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.