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Finding the Fourth Proportional to 10,261.57, 14,172.65 and 6,898.56

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Solution

The fourth proportional to 10,261.57, 14,172.65 and 6,898.56 is: 9,527.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261.57 : 14,172.65 = 6,898.56 : x
  2. Step 2: Convert to fraction form
    10,261.57/14,172.65 = 6,898.56/x
  3. Step 3: Cross multiply
    10,261.57x = 14,172.65 × 6,898.56
  4. Step 4: Simplify right side
    10,261.57x = 97,770,771.03
  5. Step 5: Solve for x
    x = 97,770,771.03/10,261.57
  6. Step 6: Final answer
    x = 9,527.86

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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.