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Finding the Fourth Proportional to 11,019.86, 15,202.32 and 6,541.08

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Solution

The fourth proportional to 11,019.86, 15,202.32 and 6,541.08 is: 9,023.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,019.86 : 15,202.32 = 6,541.08 : x
  2. Step 2: Convert to fraction form
    11,019.86/15,202.32 = 6,541.08/x
  3. Step 3: Cross multiply
    11,019.86x = 15,202.32 × 6,541.08
  4. Step 4: Simplify right side
    11,019.86x = 99,439,591.31
  5. Step 5: Solve for x
    x = 99,439,591.31/11,019.86
  6. Step 6: Final answer
    x = 9,023.67

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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.