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Finding the Fourth Proportional to 10,735.54, 14,812.01 and 6,958.86

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Solution

The fourth proportional to 10,735.54, 14,812.01 and 6,958.86 is: 9,601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.54 : 14,812.01 = 6,958.86 : x
  2. Step 2: Convert to fraction form
    10,735.54/14,812.01 = 6,958.86/x
  3. Step 3: Cross multiply
    10,735.54x = 14,812.01 × 6,958.86
  4. Step 4: Simplify right side
    10,735.54x = 103,074,703.91
  5. Step 5: Solve for x
    x = 103,074,703.91/10,735.54
  6. Step 6: Final answer
    x = 9,601.26

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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.