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Finding the Fourth Proportional to 11,972.89, 16,521.53 and 6,935.50

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Solution

The fourth proportional to 11,972.89, 16,521.53 and 6,935.50 is: 9,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.89 : 16,521.53 = 6,935.50 : x
  2. Step 2: Convert to fraction form
    11,972.89/16,521.53 = 6,935.50/x
  3. Step 3: Cross multiply
    11,972.89x = 16,521.53 × 6,935.50
  4. Step 4: Simplify right side
    11,972.89x = 114,585,071.32
  5. Step 5: Solve for x
    x = 114,585,071.32/11,972.89
  6. Step 6: Final answer
    x = 9,570.38

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Why These Related Problems?

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