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Finding the Fourth Proportional to 8,657.42, 11,946.31 and 4,880.50

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Solution

The fourth proportional to 8,657.42, 11,946.31 and 4,880.50 is: 6,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.42 : 11,946.31 = 4,880.50 : x
  2. Step 2: Convert to fraction form
    8,657.42/11,946.31 = 4,880.50/x
  3. Step 3: Cross multiply
    8,657.42x = 11,946.31 × 4,880.50
  4. Step 4: Simplify right side
    8,657.42x = 58,303,923.89
  5. Step 5: Solve for x
    x = 58,303,923.89/8,657.42
  6. Step 6: Final answer
    x = 6,734.56

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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.