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Finding the Fourth Proportional to 10,235.70, 15,356.79 and 6,342.84

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Solution

The fourth proportional to 10,235.70, 15,356.79 and 6,342.84 is: 9,516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.70 : 15,356.79 = 6,342.84 : x
  2. Step 2: Convert to fraction form
    10,235.70/15,356.79 = 6,342.84/x
  3. Step 3: Cross multiply
    10,235.70x = 15,356.79 × 6,342.84
  4. Step 4: Simplify right side
    10,235.70x = 97,405,661.88
  5. Step 5: Solve for x
    x = 97,405,661.88/10,235.70
  6. Step 6: Final answer
    x = 9,516.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.