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Finding the Fourth Proportional to 7,769.77, 10,725.86 and 4,582.02

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Solution

The fourth proportional to 7,769.77, 10,725.86 and 4,582.02 is: 6,325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.77 : 10,725.86 = 4,582.02 : x
  2. Step 2: Convert to fraction form
    7,769.77/10,725.86 = 4,582.02/x
  3. Step 3: Cross multiply
    7,769.77x = 10,725.86 × 4,582.02
  4. Step 4: Simplify right side
    7,769.77x = 49,146,105.04
  5. Step 5: Solve for x
    x = 49,146,105.04/7,769.77
  6. Step 6: Final answer
    x = 6,325.30

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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.