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Finding the Fourth Proportional to 10,497.36, 15,725.10 and 6,324.78

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Solution

The fourth proportional to 10,497.36, 15,725.10 and 6,324.78 is: 9,474.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.36 : 15,725.10 = 6,324.78 : x
  2. Step 2: Convert to fraction form
    10,497.36/15,725.10 = 6,324.78/x
  3. Step 3: Cross multiply
    10,497.36x = 15,725.10 × 6,324.78
  4. Step 4: Simplify right side
    10,497.36x = 99,457,797.98
  5. Step 5: Solve for x
    x = 99,457,797.98/10,497.36
  6. Step 6: Final answer
    x = 9,474.55

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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.