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Finding the Fourth Proportional to 8,397.62, 11,586.75 and 7,058.32

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Solution

The fourth proportional to 8,397.62, 11,586.75 and 7,058.32 is: 9,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397.62 : 11,586.75 = 7,058.32 : x
  2. Step 2: Convert to fraction form
    8,397.62/11,586.75 = 7,058.32/x
  3. Step 3: Cross multiply
    8,397.62x = 11,586.75 × 7,058.32
  4. Step 4: Simplify right side
    8,397.62x = 81,782,933.82
  5. Step 5: Solve for x
    x = 81,782,933.82/8,397.62
  6. Step 6: Final answer
    x = 9,738.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.