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Finding the Fourth Proportional to 7,398.83, 10,208.70 and 4,414.08

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Solution

The fourth proportional to 7,398.83, 10,208.70 and 4,414.08 is: 6,090.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,398.83 : 10,208.70 = 4,414.08 : x
  2. Step 2: Convert to fraction form
    7,398.83/10,208.70 = 4,414.08/x
  3. Step 3: Cross multiply
    7,398.83x = 10,208.70 × 4,414.08
  4. Step 4: Simplify right side
    7,398.83x = 45,061,999.35
  5. Step 5: Solve for x
    x = 45,061,999.35/7,398.83
  6. Step 6: Final answer
    x = 6,090.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.