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Finding the Fourth Proportional to 11,407.27, 17,106.55 and 5,482.50

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Solution

The fourth proportional to 11,407.27, 17,106.55 and 5,482.50 is: 8,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.27 : 17,106.55 = 5,482.50 : x
  2. Step 2: Convert to fraction form
    11,407.27/17,106.55 = 5,482.50/x
  3. Step 3: Cross multiply
    11,407.27x = 17,106.55 × 5,482.50
  4. Step 4: Simplify right side
    11,407.27x = 93,786,646.67
  5. Step 5: Solve for x
    x = 93,786,646.67/11,407.27
  6. Step 6: Final answer
    x = 8,221.66

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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.