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Finding the Fourth Proportional to 11,970.81, 17,963.37 and 4,950.90

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Solution

The fourth proportional to 11,970.81, 17,963.37 and 4,950.90 is: 7,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.81 : 17,963.37 = 4,950.90 : x
  2. Step 2: Convert to fraction form
    11,970.81/17,963.37 = 4,950.90/x
  3. Step 3: Cross multiply
    11,970.81x = 17,963.37 × 4,950.90
  4. Step 4: Simplify right side
    11,970.81x = 88,934,848.53
  5. Step 5: Solve for x
    x = 88,934,848.53/11,970.81
  6. Step 6: Final answer
    x = 7,429.31

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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.