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Finding the Fourth Proportional to 8,594.56, 11,860.47 and 5,237.38

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Solution

The fourth proportional to 8,594.56, 11,860.47 and 5,237.38 is: 7,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.56 : 11,860.47 = 5,237.38 : x
  2. Step 2: Convert to fraction form
    8,594.56/11,860.47 = 5,237.38/x
  3. Step 3: Cross multiply
    8,594.56x = 11,860.47 × 5,237.38
  4. Step 4: Simplify right side
    8,594.56x = 62,117,788.37
  5. Step 5: Solve for x
    x = 62,117,788.37/8,594.56
  6. Step 6: Final answer
    x = 7,227.57

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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.