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Finding the Fourth Proportional to 7,427.67, 11,133.14 and 3,042.74

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Solution

The fourth proportional to 7,427.67, 11,133.14 and 3,042.74 is: 4,560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.67 : 11,133.14 = 3,042.74 : x
  2. Step 2: Convert to fraction form
    7,427.67/11,133.14 = 3,042.74/x
  3. Step 3: Cross multiply
    7,427.67x = 11,133.14 × 3,042.74
  4. Step 4: Simplify right side
    7,427.67x = 33,875,179.52
  5. Step 5: Solve for x
    x = 33,875,179.52/7,427.67
  6. Step 6: Final answer
    x = 4,560.67

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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.