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Finding the Fourth Proportional to 8,533.41, 12,800.10 and 3,335.64

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Solution

The fourth proportional to 8,533.41, 12,800.10 and 3,335.64 is: 5,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.41 : 12,800.10 = 3,335.64 : x
  2. Step 2: Convert to fraction form
    8,533.41/12,800.10 = 3,335.64/x
  3. Step 3: Cross multiply
    8,533.41x = 12,800.10 × 3,335.64
  4. Step 4: Simplify right side
    8,533.41x = 42,696,525.56
  5. Step 5: Solve for x
    x = 42,696,525.56/8,533.41
  6. Step 6: Final answer
    x = 5,003.45

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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.