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Finding the Fourth Proportional to 7,585.99, 11,381.34 and 6,801.05

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Solution

The fourth proportional to 7,585.99, 11,381.34 and 6,801.05 is: 10,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.99 : 11,381.34 = 6,801.05 : x
  2. Step 2: Convert to fraction form
    7,585.99/11,381.34 = 6,801.05/x
  3. Step 3: Cross multiply
    7,585.99x = 11,381.34 × 6,801.05
  4. Step 4: Simplify right side
    7,585.99x = 77,405,065.23
  5. Step 5: Solve for x
    x = 77,405,065.23/7,585.99
  6. Step 6: Final answer
    x = 10,203.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.