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Finding the Fourth Proportional to 7,821.61, 10,794.14 and 4,284.84

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Solution

The fourth proportional to 7,821.61, 10,794.14 and 4,284.84 is: 5,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.61 : 10,794.14 = 4,284.84 : x
  2. Step 2: Convert to fraction form
    7,821.61/10,794.14 = 4,284.84/x
  3. Step 3: Cross multiply
    7,821.61x = 10,794.14 × 4,284.84
  4. Step 4: Simplify right side
    7,821.61x = 46,251,162.84
  5. Step 5: Solve for x
    x = 46,251,162.84/7,821.61
  6. Step 6: Final answer
    x = 5,913.25

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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.