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Finding the Fourth Proportional to 11,430.62, 17,148.05 and 5,191.07

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Solution

The fourth proportional to 11,430.62, 17,148.05 and 5,191.07 is: 7,787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.62 : 17,148.05 = 5,191.07 : x
  2. Step 2: Convert to fraction form
    11,430.62/17,148.05 = 5,191.07/x
  3. Step 3: Cross multiply
    11,430.62x = 17,148.05 × 5,191.07
  4. Step 4: Simplify right side
    11,430.62x = 89,016,616.22
  5. Step 5: Solve for x
    x = 89,016,616.22/11,430.62
  6. Step 6: Final answer
    x = 7,787.56

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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.