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Finding the Fourth Proportional to 11,407.14, 17,106.36 and 5,482.38

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Solution

The fourth proportional to 11,407.14, 17,106.36 and 5,482.38 is: 8,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.14 : 17,106.36 = 5,482.38 : x
  2. Step 2: Convert to fraction form
    11,407.14/17,106.36 = 5,482.38/x
  3. Step 3: Cross multiply
    11,407.14x = 17,106.36 × 5,482.38
  4. Step 4: Simplify right side
    11,407.14x = 93,783,565.94
  5. Step 5: Solve for x
    x = 93,783,565.94/11,407.14
  6. Step 6: Final answer
    x = 8,221.48

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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.