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Finding the Fourth Proportional to 7,168.32, 9,891.72 and 4,023.90

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Solution

The fourth proportional to 7,168.32, 9,891.72 and 4,023.90 is: 5,552.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.32 : 9,891.72 = 4,023.90 : x
  2. Step 2: Convert to fraction form
    7,168.32/9,891.72 = 4,023.90/x
  3. Step 3: Cross multiply
    7,168.32x = 9,891.72 × 4,023.90
  4. Step 4: Simplify right side
    7,168.32x = 39,803,292.11
  5. Step 5: Solve for x
    x = 39,803,292.11/7,168.32
  6. Step 6: Final answer
    x = 5,552.67

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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.