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Finding the Fourth Proportional to 7,842.74, 10,823.00 and 4,306.18

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Solution

The fourth proportional to 7,842.74, 10,823.00 and 4,306.18 is: 5,942.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.74 : 10,823.00 = 4,306.18 : x
  2. Step 2: Convert to fraction form
    7,842.74/10,823.00 = 4,306.18/x
  3. Step 3: Cross multiply
    7,842.74x = 10,823.00 × 4,306.18
  4. Step 4: Simplify right side
    7,842.74x = 46,605,739.52
  5. Step 5: Solve for x
    x = 46,605,739.52/7,842.74
  6. Step 6: Final answer
    x = 5,942.53

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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.