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Finding the Fourth Proportional to 7,199.82, 10,804.46 and 2,582.82

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Solution

The fourth proportional to 7,199.82, 10,804.46 and 2,582.82 is: 3,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.82 : 10,804.46 = 2,582.82 : x
  2. Step 2: Convert to fraction form
    7,199.82/10,804.46 = 2,582.82/x
  3. Step 3: Cross multiply
    7,199.82x = 10,804.46 × 2,582.82
  4. Step 4: Simplify right side
    7,199.82x = 27,905,962.46
  5. Step 5: Solve for x
    x = 27,905,962.46/7,199.82
  6. Step 6: Final answer
    x = 3,875.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.