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Finding the Fourth Proportional to 7,825.41, 10,804.19 and 4,845.62

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Solution

The fourth proportional to 7,825.41, 10,804.19 and 4,845.62 is: 6,690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.41 : 10,804.19 = 4,845.62 : x
  2. Step 2: Convert to fraction form
    7,825.41/10,804.19 = 4,845.62/x
  3. Step 3: Cross multiply
    7,825.41x = 10,804.19 × 4,845.62
  4. Step 4: Simplify right side
    7,825.41x = 52,353,001.93
  5. Step 5: Solve for x
    x = 52,353,001.93/7,825.41
  6. Step 6: Final answer
    x = 6,690.13

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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.