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Finding the Fourth Proportional to 7,829.96, 10,805.20 and 4,473.80

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Solution

The fourth proportional to 7,829.96, 10,805.20 and 4,473.80 is: 6,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.96 : 10,805.20 = 4,473.80 : x
  2. Step 2: Convert to fraction form
    7,829.96/10,805.20 = 4,473.80/x
  3. Step 3: Cross multiply
    7,829.96x = 10,805.20 × 4,473.80
  4. Step 4: Simplify right side
    7,829.96x = 48,340,303.76
  5. Step 5: Solve for x
    x = 48,340,303.76/7,829.96
  6. Step 6: Final answer
    x = 6,173.76

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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.