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Finding the Fourth Proportional to 7,725.36, 10,652.04 and 5,419.92

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Solution

The fourth proportional to 7,725.36, 10,652.04 and 5,419.92 is: 7,473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.36 : 10,652.04 = 5,419.92 : x
  2. Step 2: Convert to fraction form
    7,725.36/10,652.04 = 5,419.92/x
  3. Step 3: Cross multiply
    7,725.36x = 10,652.04 × 5,419.92
  4. Step 4: Simplify right side
    7,725.36x = 57,733,204.64
  5. Step 5: Solve for x
    x = 57,733,204.64/7,725.36
  6. Step 6: Final answer
    x = 7,473.21

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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.