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Finding the Fourth Proportional to 11,430.94, 17,147.76 and 4,853.47

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Solution

The fourth proportional to 11,430.94, 17,147.76 and 4,853.47 is: 7,280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.94 : 17,147.76 = 4,853.47 : x
  2. Step 2: Convert to fraction form
    11,430.94/17,147.76 = 4,853.47/x
  3. Step 3: Cross multiply
    11,430.94x = 17,147.76 × 4,853.47
  4. Step 4: Simplify right side
    11,430.94x = 83,226,138.73
  5. Step 5: Solve for x
    x = 83,226,138.73/11,430.94
  6. Step 6: Final answer
    x = 7,280.78

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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.