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Finding the Fourth Proportional to 11,846.61, 17,767.62 and 6,925.86

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Solution

The fourth proportional to 11,846.61, 17,767.62 and 6,925.86 is: 10,387.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.61 : 17,767.62 = 6,925.86 : x
  2. Step 2: Convert to fraction form
    11,846.61/17,767.62 = 6,925.86/x
  3. Step 3: Cross multiply
    11,846.61x = 17,767.62 × 6,925.86
  4. Step 4: Simplify right side
    11,846.61x = 123,056,048.65
  5. Step 5: Solve for x
    x = 123,056,048.65/11,846.61
  6. Step 6: Final answer
    x = 10,387.45

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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.