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Finding the Fourth Proportional to 10,685.26, 14,739.24 and 6,907.12

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Solution

The fourth proportional to 10,685.26, 14,739.24 and 6,907.12 is: 9,527.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.26 : 14,739.24 = 6,907.12 : x
  2. Step 2: Convert to fraction form
    10,685.26/14,739.24 = 6,907.12/x
  3. Step 3: Cross multiply
    10,685.26x = 14,739.24 × 6,907.12
  4. Step 4: Simplify right side
    10,685.26x = 101,805,699.39
  5. Step 5: Solve for x
    x = 101,805,699.39/10,685.26
  6. Step 6: Final answer
    x = 9,527.68

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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.