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Finding the Fourth Proportional to 6,852.88, 10,277.70 and 3,152.80

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Solution

The fourth proportional to 6,852.88, 10,277.70 and 3,152.80 is: 4,728.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.88 : 10,277.70 = 3,152.80 : x
  2. Step 2: Convert to fraction form
    6,852.88/10,277.70 = 3,152.80/x
  3. Step 3: Cross multiply
    6,852.88x = 10,277.70 × 3,152.80
  4. Step 4: Simplify right side
    6,852.88x = 32,403,532.56
  5. Step 5: Solve for x
    x = 32,403,532.56/6,852.88
  6. Step 6: Final answer
    x = 4,728.45

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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.