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Finding the Fourth Proportional to 7,725.68, 10,661.62 and 4,581.88

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Solution

The fourth proportional to 7,725.68, 10,661.62 and 4,581.88 is: 6,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.68 : 10,661.62 = 4,581.88 : x
  2. Step 2: Convert to fraction form
    7,725.68/10,661.62 = 4,581.88/x
  3. Step 3: Cross multiply
    7,725.68x = 10,661.62 × 4,581.88
  4. Step 4: Simplify right side
    7,725.68x = 48,850,263.45
  5. Step 5: Solve for x
    x = 48,850,263.45/7,725.68
  6. Step 6: Final answer
    x = 6,323.10

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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.