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Finding the Fourth Proportional to 11,523.14, 17,284.68 and 4,602.50

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Solution

The fourth proportional to 11,523.14, 17,284.68 and 4,602.50 is: 6,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.14 : 17,284.68 = 4,602.50 : x
  2. Step 2: Convert to fraction form
    11,523.14/17,284.68 = 4,602.50/x
  3. Step 3: Cross multiply
    11,523.14x = 17,284.68 × 4,602.50
  4. Step 4: Simplify right side
    11,523.14x = 79,552,739.70
  5. Step 5: Solve for x
    x = 79,552,739.70/11,523.14
  6. Step 6: Final answer
    x = 6,903.74

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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.