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Finding the Fourth Proportional to 11,782.46, 17,697.07 and 7,047.74

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Solution

The fourth proportional to 11,782.46, 17,697.07 and 7,047.74 is: 10,585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.46 : 17,697.07 = 7,047.74 : x
  2. Step 2: Convert to fraction form
    11,782.46/17,697.07 = 7,047.74/x
  3. Step 3: Cross multiply
    11,782.46x = 17,697.07 × 7,047.74
  4. Step 4: Simplify right side
    11,782.46x = 124,724,348.12
  5. Step 5: Solve for x
    x = 124,724,348.12/11,782.46
  6. Step 6: Final answer
    x = 10,585.59

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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.