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Finding the Fourth Proportional to 7,151.10, 9,866.47 and 4,125.98

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Solution

The fourth proportional to 7,151.10, 9,866.47 and 4,125.98 is: 5,692.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.10 : 9,866.47 = 4,125.98 : x
  2. Step 2: Convert to fraction form
    7,151.10/9,866.47 = 4,125.98/x
  3. Step 3: Cross multiply
    7,151.10x = 9,866.47 × 4,125.98
  4. Step 4: Simplify right side
    7,151.10x = 40,708,839.95
  5. Step 5: Solve for x
    x = 40,708,839.95/7,151.10
  6. Step 6: Final answer
    x = 5,692.67

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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.