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Finding the Fourth Proportional to 7,848.96, 11,744.52 and 4,730.80

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Solution

The fourth proportional to 7,848.96, 11,744.52 and 4,730.80 is: 7,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.96 : 11,744.52 = 4,730.80 : x
  2. Step 2: Convert to fraction form
    7,848.96/11,744.52 = 4,730.80/x
  3. Step 3: Cross multiply
    7,848.96x = 11,744.52 × 4,730.80
  4. Step 4: Simplify right side
    7,848.96x = 55,560,975.22
  5. Step 5: Solve for x
    x = 55,560,975.22/7,848.96
  6. Step 6: Final answer
    x = 7,078.77

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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.