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Finding the Fourth Proportional to 8,590.71, 11,860.89 and 6,597.71

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Solution

The fourth proportional to 8,590.71, 11,860.89 and 6,597.71 is: 9,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.71 : 11,860.89 = 6,597.71 : x
  2. Step 2: Convert to fraction form
    8,590.71/11,860.89 = 6,597.71/x
  3. Step 3: Cross multiply
    8,590.71x = 11,860.89 × 6,597.71
  4. Step 4: Simplify right side
    8,590.71x = 78,254,712.56
  5. Step 5: Solve for x
    x = 78,254,712.56/8,590.71
  6. Step 6: Final answer
    x = 9,109.23

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