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Finding the Fourth Proportional to 11,963.85, 16,510.53 and 7,184.55

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Solution

The fourth proportional to 11,963.85, 16,510.53 and 7,184.55 is: 9,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.85 : 16,510.53 = 7,184.55 : x
  2. Step 2: Convert to fraction form
    11,963.85/16,510.53 = 7,184.55/x
  3. Step 3: Cross multiply
    11,963.85x = 16,510.53 × 7,184.55
  4. Step 4: Simplify right side
    11,963.85x = 118,620,728.31
  5. Step 5: Solve for x
    x = 118,620,728.31/11,963.85
  6. Step 6: Final answer
    x = 9,914.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.