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Finding the Fourth Proportional to 7,842.15, 10,821.74 and 4,304.70

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Solution

The fourth proportional to 7,842.15, 10,821.74 and 4,304.70 is: 5,940.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.15 : 10,821.74 = 4,304.70 : x
  2. Step 2: Convert to fraction form
    7,842.15/10,821.74 = 4,304.70/x
  3. Step 3: Cross multiply
    7,842.15x = 10,821.74 × 4,304.70
  4. Step 4: Simplify right side
    7,842.15x = 46,584,322.65
  5. Step 5: Solve for x
    x = 46,584,322.65/7,842.15
  6. Step 6: Final answer
    x = 5,940.25

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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.