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Finding the Fourth Proportional to 6,842.85, 10,263.96 and 4,756.68

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Solution

The fourth proportional to 6,842.85, 10,263.96 and 4,756.68 is: 7,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.85 : 10,263.96 = 4,756.68 : x
  2. Step 2: Convert to fraction form
    6,842.85/10,263.96 = 4,756.68/x
  3. Step 3: Cross multiply
    6,842.85x = 10,263.96 × 4,756.68
  4. Step 4: Simplify right side
    6,842.85x = 48,822,373.25
  5. Step 5: Solve for x
    x = 48,822,373.25/6,842.85
  6. Step 6: Final answer
    x = 7,134.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.