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Finding the Fourth Proportional to 10,243.16, 14,137.86 and 6,704.31

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Solution

The fourth proportional to 10,243.16, 14,137.86 and 6,704.31 is: 9,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.16 : 14,137.86 = 6,704.31 : x
  2. Step 2: Convert to fraction form
    10,243.16/14,137.86 = 6,704.31/x
  3. Step 3: Cross multiply
    10,243.16x = 14,137.86 × 6,704.31
  4. Step 4: Simplify right side
    10,243.16x = 94,784,596.18
  5. Step 5: Solve for x
    x = 94,784,596.18/10,243.16
  6. Step 6: Final answer
    x = 9,253.45

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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.