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Finding the Fourth Proportional to 7,412.64, 11,106.15 and 3,897.42

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Solution

The fourth proportional to 7,412.64, 11,106.15 and 3,897.42 is: 5,839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.64 : 11,106.15 = 3,897.42 : x
  2. Step 2: Convert to fraction form
    7,412.64/11,106.15 = 3,897.42/x
  3. Step 3: Cross multiply
    7,412.64x = 11,106.15 × 3,897.42
  4. Step 4: Simplify right side
    7,412.64x = 43,285,331.13
  5. Step 5: Solve for x
    x = 43,285,331.13/7,412.64
  6. Step 6: Final answer
    x = 5,839.39

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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.