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Finding the Fourth Proportional to 11,046.87, 15,226.94 and 7,460.67

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Solution

The fourth proportional to 11,046.87, 15,226.94 and 7,460.67 is: 10,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,046.87 : 15,226.94 = 7,460.67 : x
  2. Step 2: Convert to fraction form
    11,046.87/15,226.94 = 7,460.67/x
  3. Step 3: Cross multiply
    11,046.87x = 15,226.94 × 7,460.67
  4. Step 4: Simplify right side
    11,046.87x = 113,603,275.28
  5. Step 5: Solve for x
    x = 113,603,275.28/11,046.87
  6. Step 6: Final answer
    x = 10,283.75

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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.