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Finding the Fourth Proportional to 13,089.11, 18,061.62 and 7,782.90

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Solution

The fourth proportional to 13,089.11, 18,061.62 and 7,782.90 is: 10,739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089.11 : 18,061.62 = 7,782.90 : x
  2. Step 2: Convert to fraction form
    13,089.11/18,061.62 = 7,782.90/x
  3. Step 3: Cross multiply
    13,089.11x = 18,061.62 × 7,782.90
  4. Step 4: Simplify right side
    13,089.11x = 140,571,685.38
  5. Step 5: Solve for x
    x = 140,571,685.38/13,089.11
  6. Step 6: Final answer
    x = 10,739.59

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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.