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Finding the Fourth Proportional to 10,725, 16,096.14 and 5,532.36

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Solution

The fourth proportional to 10,725, 16,096.14 and 5,532.36 is: 8,303.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725 : 16,096.14 = 5,532.36 : x
  2. Step 2: Convert to fraction form
    10,725/16,096.14 = 5,532.36/x
  3. Step 3: Cross multiply
    10,725x = 16,096.14 × 5,532.36
  4. Step 4: Simplify right side
    10,725x = 89,049,641.09
  5. Step 5: Solve for x
    x = 89,049,641.09/10,725
  6. Step 6: Final answer
    x = 8,303.00

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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.