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Finding the Fourth Proportional to 11,539.65, 15,924.26 and 6,504.89

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Solution

The fourth proportional to 11,539.65, 15,924.26 and 6,504.89 is: 8,976.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.65 : 15,924.26 = 6,504.89 : x
  2. Step 2: Convert to fraction form
    11,539.65/15,924.26 = 6,504.89/x
  3. Step 3: Cross multiply
    11,539.65x = 15,924.26 × 6,504.89
  4. Step 4: Simplify right side
    11,539.65x = 103,585,585.85
  5. Step 5: Solve for x
    x = 103,585,585.85/11,539.65
  6. Step 6: Final answer
    x = 8,976.49

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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.