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Finding the Fourth Proportional to 11,284.64, 16,926.40 and 4,264.64

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Solution

The fourth proportional to 11,284.64, 16,926.40 and 4,264.64 is: 6,396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.64 : 16,926.40 = 4,264.64 : x
  2. Step 2: Convert to fraction form
    11,284.64/16,926.40 = 4,264.64/x
  3. Step 3: Cross multiply
    11,284.64x = 16,926.40 × 4,264.64
  4. Step 4: Simplify right side
    11,284.64x = 72,185,002.50
  5. Step 5: Solve for x
    x = 72,185,002.50/11,284.64
  6. Step 6: Final answer
    x = 6,396.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.