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Finding the Fourth Proportional to 10,725.60, 16,094.08 and 5,253.60

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Solution

The fourth proportional to 10,725.60, 16,094.08 and 5,253.60 is: 7,883.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.60 : 16,094.08 = 5,253.60 : x
  2. Step 2: Convert to fraction form
    10,725.60/16,094.08 = 5,253.60/x
  3. Step 3: Cross multiply
    10,725.60x = 16,094.08 × 5,253.60
  4. Step 4: Simplify right side
    10,725.60x = 84,551,858.69
  5. Step 5: Solve for x
    x = 84,551,858.69/10,725.60
  6. Step 6: Final answer
    x = 7,883.18

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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.