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Finding the Fourth Proportional to 11,970.44, 17,963.34 and 5,811.08

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Solution

The fourth proportional to 11,970.44, 17,963.34 and 5,811.08 is: 8,720.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.44 : 17,963.34 = 5,811.08 : x
  2. Step 2: Convert to fraction form
    11,970.44/17,963.34 = 5,811.08/x
  3. Step 3: Cross multiply
    11,970.44x = 17,963.34 × 5,811.08
  4. Step 4: Simplify right side
    11,970.44x = 104,386,405.81
  5. Step 5: Solve for x
    x = 104,386,405.81/11,970.44
  6. Step 6: Final answer
    x = 8,720.35

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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.