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Finding the Fourth Proportional to 7,837.66, 11,760.52 and 5,206.99

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Solution

The fourth proportional to 7,837.66, 11,760.52 and 5,206.99 is: 7,813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.66 : 11,760.52 = 5,206.99 : x
  2. Step 2: Convert to fraction form
    7,837.66/11,760.52 = 5,206.99/x
  3. Step 3: Cross multiply
    7,837.66x = 11,760.52 × 5,206.99
  4. Step 4: Simplify right side
    7,837.66x = 61,236,864.25
  5. Step 5: Solve for x
    x = 61,236,864.25/7,837.66
  6. Step 6: Final answer
    x = 7,813.15

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Why These Related Problems?

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