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Finding the Fourth Proportional to 8,586.49, 11,851.38 and 5,597.11

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Solution

The fourth proportional to 8,586.49, 11,851.38 and 5,597.11 is: 7,725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.49 : 11,851.38 = 5,597.11 : x
  2. Step 2: Convert to fraction form
    8,586.49/11,851.38 = 5,597.11/x
  3. Step 3: Cross multiply
    8,586.49x = 11,851.38 × 5,597.11
  4. Step 4: Simplify right side
    8,586.49x = 66,333,477.51
  5. Step 5: Solve for x
    x = 66,333,477.51/8,586.49
  6. Step 6: Final answer
    x = 7,725.33

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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.