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Finding the Fourth Proportional to 7,842.96, 10,818.77 and 4,697.33

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Solution

The fourth proportional to 7,842.96, 10,818.77 and 4,697.33 is: 6,479.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.96 : 10,818.77 = 4,697.33 : x
  2. Step 2: Convert to fraction form
    7,842.96/10,818.77 = 4,697.33/x
  3. Step 3: Cross multiply
    7,842.96x = 10,818.77 × 4,697.33
  4. Step 4: Simplify right side
    7,842.96x = 50,819,255.30
  5. Step 5: Solve for x
    x = 50,819,255.30/7,842.96
  6. Step 6: Final answer
    x = 6,479.60

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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.