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Finding the Fourth Proportional to 11,873.36, 17,810.04 and 4,943

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Solution

The fourth proportional to 11,873.36, 17,810.04 and 4,943 is: 7,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.36 : 17,810.04 = 4,943 : x
  2. Step 2: Convert to fraction form
    11,873.36/17,810.04 = 4,943/x
  3. Step 3: Cross multiply
    11,873.36x = 17,810.04 × 4,943
  4. Step 4: Simplify right side
    11,873.36x = 88,035,027.72
  5. Step 5: Solve for x
    x = 88,035,027.72/11,873.36
  6. Step 6: Final answer
    x = 7,414.50

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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.