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Finding the Fourth Proportional to 7,842.83, 10,823.96 and 4,485.96

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Solution

The fourth proportional to 7,842.83, 10,823.96 and 4,485.96 is: 6,191.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.83 : 10,823.96 = 4,485.96 : x
  2. Step 2: Convert to fraction form
    7,842.83/10,823.96 = 4,485.96/x
  3. Step 3: Cross multiply
    7,842.83x = 10,823.96 × 4,485.96
  4. Step 4: Simplify right side
    7,842.83x = 48,555,851.60
  5. Step 5: Solve for x
    x = 48,555,851.60/7,842.83
  6. Step 6: Final answer
    x = 6,191.11

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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.