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Finding the Fourth Proportional to 11,178.47, 16,767.64 and 2,858.47

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Solution

The fourth proportional to 11,178.47, 16,767.64 and 2,858.47 is: 4,287.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.47 : 16,767.64 = 2,858.47 : x
  2. Step 2: Convert to fraction form
    11,178.47/16,767.64 = 2,858.47/x
  3. Step 3: Cross multiply
    11,178.47x = 16,767.64 × 2,858.47
  4. Step 4: Simplify right side
    11,178.47x = 47,929,746.85
  5. Step 5: Solve for x
    x = 47,929,746.85/11,178.47
  6. Step 6: Final answer
    x = 4,287.69

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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.