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Finding the Fourth Proportional to 11,957.05, 17,913.06 and 7,012

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Solution

The fourth proportional to 11,957.05, 17,913.06 and 7,012 is: 10,504.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.05 : 17,913.06 = 7,012 : x
  2. Step 2: Convert to fraction form
    11,957.05/17,913.06 = 7,012/x
  3. Step 3: Cross multiply
    11,957.05x = 17,913.06 × 7,012
  4. Step 4: Simplify right side
    11,957.05x = 125,606,376.72
  5. Step 5: Solve for x
    x = 125,606,376.72/11,957.05
  6. Step 6: Final answer
    x = 10,504.80

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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.