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Finding the Fourth Proportional to 10,957, 15,111.84 and 6,976.84

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Solution

The fourth proportional to 10,957, 15,111.84 and 6,976.84 is: 9,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957 : 15,111.84 = 6,976.84 : x
  2. Step 2: Convert to fraction form
    10,957/15,111.84 = 6,976.84/x
  3. Step 3: Cross multiply
    10,957x = 15,111.84 × 6,976.84
  4. Step 4: Simplify right side
    10,957x = 105,432,889.79
  5. Step 5: Solve for x
    x = 105,432,889.79/10,957
  6. Step 6: Final answer
    x = 9,622.42

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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.