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Finding the Fourth Proportional to 7,823.80, 10,794.19 and 4,464.25

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Solution

The fourth proportional to 7,823.80, 10,794.19 and 4,464.25 is: 6,159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.80 : 10,794.19 = 4,464.25 : x
  2. Step 2: Convert to fraction form
    7,823.80/10,794.19 = 4,464.25/x
  3. Step 3: Cross multiply
    7,823.80x = 10,794.19 × 4,464.25
  4. Step 4: Simplify right side
    7,823.80x = 48,187,962.71
  5. Step 5: Solve for x
    x = 48,187,962.71/7,823.80
  6. Step 6: Final answer
    x = 6,159.15

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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.