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Finding the Fourth Proportional to 10,957.86, 15,120.81 and 6,707.43

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Solution

The fourth proportional to 10,957.86, 15,120.81 and 6,707.43 is: 9,255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.86 : 15,120.81 = 6,707.43 : x
  2. Step 2: Convert to fraction form
    10,957.86/15,120.81 = 6,707.43/x
  3. Step 3: Cross multiply
    10,957.86x = 15,120.81 × 6,707.43
  4. Step 4: Simplify right side
    10,957.86x = 101,421,774.62
  5. Step 5: Solve for x
    x = 101,421,774.62/10,957.86
  6. Step 6: Final answer
    x = 9,255.62

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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.