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Finding the Fourth Proportional to 7,725.12, 10,661.94 and 4,583.40

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Solution

The fourth proportional to 7,725.12, 10,661.94 and 4,583.40 is: 6,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.12 : 10,661.94 = 4,583.40 : x
  2. Step 2: Convert to fraction form
    7,725.12/10,661.94 = 4,583.40/x
  3. Step 3: Cross multiply
    7,725.12x = 10,661.94 × 4,583.40
  4. Step 4: Simplify right side
    7,725.12x = 48,867,935.80
  5. Step 5: Solve for x
    x = 48,867,935.80/7,725.12
  6. Step 6: Final answer
    x = 6,325.85

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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.