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Finding the Fourth Proportional to 11,370.75, 17,056 and 4,445.19

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Solution

The fourth proportional to 11,370.75, 17,056 and 4,445.19 is: 6,667.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,370.75 : 17,056 = 4,445.19 : x
  2. Step 2: Convert to fraction form
    11,370.75/17,056 = 4,445.19/x
  3. Step 3: Cross multiply
    11,370.75x = 17,056 × 4,445.19
  4. Step 4: Simplify right side
    11,370.75x = 75,817,160.64
  5. Step 5: Solve for x
    x = 75,817,160.64/11,370.75
  6. Step 6: Final answer
    x = 6,667.74

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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.