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Finding the Fourth Proportional to 11,765.46, 17,643.66 and 4,743.06

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Solution

The fourth proportional to 11,765.46, 17,643.66 and 4,743.06 is: 7,112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.46 : 17,643.66 = 4,743.06 : x
  2. Step 2: Convert to fraction form
    11,765.46/17,643.66 = 4,743.06/x
  3. Step 3: Cross multiply
    11,765.46x = 17,643.66 × 4,743.06
  4. Step 4: Simplify right side
    11,765.46x = 83,684,938.00
  5. Step 5: Solve for x
    x = 83,684,938.00/11,765.46
  6. Step 6: Final answer
    x = 7,112.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.