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Finding the Fourth Proportional to 7,112.18, 9,815.10 and 3,967.76

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Solution

The fourth proportional to 7,112.18, 9,815.10 and 3,967.76 is: 5,475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.18 : 9,815.10 = 3,967.76 : x
  2. Step 2: Convert to fraction form
    7,112.18/9,815.10 = 3,967.76/x
  3. Step 3: Cross multiply
    7,112.18x = 9,815.10 × 3,967.76
  4. Step 4: Simplify right side
    7,112.18x = 38,943,961.18
  5. Step 5: Solve for x
    x = 38,943,961.18/7,112.18
  6. Step 6: Final answer
    x = 5,475.67

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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.