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Finding the Fourth Proportional to 10,852.64, 16,280.16 and 4,283.36

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Solution

The fourth proportional to 10,852.64, 16,280.16 and 4,283.36 is: 6,425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.64 : 16,280.16 = 4,283.36 : x
  2. Step 2: Convert to fraction form
    10,852.64/16,280.16 = 4,283.36/x
  3. Step 3: Cross multiply
    10,852.64x = 16,280.16 × 4,283.36
  4. Step 4: Simplify right side
    10,852.64x = 69,733,786.14
  5. Step 5: Solve for x
    x = 69,733,786.14/10,852.64
  6. Step 6: Final answer
    x = 6,425.51

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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.