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Finding the Fourth Proportional to 7,842.29, 10,823.13 and 4,485.60

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Solution

The fourth proportional to 7,842.29, 10,823.13 and 4,485.60 is: 6,190.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.29 : 10,823.13 = 4,485.60 : x
  2. Step 2: Convert to fraction form
    7,842.29/10,823.13 = 4,485.60/x
  3. Step 3: Cross multiply
    7,842.29x = 10,823.13 × 4,485.60
  4. Step 4: Simplify right side
    7,842.29x = 48,548,231.93
  5. Step 5: Solve for x
    x = 48,548,231.93/7,842.29
  6. Step 6: Final answer
    x = 6,190.57

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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.