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Finding the Fourth Proportional to 7,880.54, 11,820.56 and 3,200.42

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Solution

The fourth proportional to 7,880.54, 11,820.56 and 3,200.42 is: 4,800.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.54 : 11,820.56 = 3,200.42 : x
  2. Step 2: Convert to fraction form
    7,880.54/11,820.56 = 3,200.42/x
  3. Step 3: Cross multiply
    7,880.54x = 11,820.56 × 3,200.42
  4. Step 4: Simplify right side
    7,880.54x = 37,830,756.64
  5. Step 5: Solve for x
    x = 37,830,756.64/7,880.54
  6. Step 6: Final answer
    x = 4,800.53

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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.