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Finding the Fourth Proportional to 10,585.11, 15,880.31 and 7,471.20

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Solution

The fourth proportional to 10,585.11, 15,880.31 and 7,471.20 is: 11,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.11 : 15,880.31 = 7,471.20 : x
  2. Step 2: Convert to fraction form
    10,585.11/15,880.31 = 7,471.20/x
  3. Step 3: Cross multiply
    10,585.11x = 15,880.31 × 7,471.20
  4. Step 4: Simplify right side
    10,585.11x = 118,644,972.07
  5. Step 5: Solve for x
    x = 118,644,972.07/10,585.11
  6. Step 6: Final answer
    x = 11,208.67

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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.