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Finding the Fourth Proportional to 7,394.32, 10,202.90 and 4,409.07

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Solution

The fourth proportional to 7,394.32, 10,202.90 and 4,409.07 is: 6,083.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394.32 : 10,202.90 = 4,409.07 : x
  2. Step 2: Convert to fraction form
    7,394.32/10,202.90 = 4,409.07/x
  3. Step 3: Cross multiply
    7,394.32x = 10,202.90 × 4,409.07
  4. Step 4: Simplify right side
    7,394.32x = 44,985,240.00
  5. Step 5: Solve for x
    x = 44,985,240.00/7,394.32
  6. Step 6: Final answer
    x = 6,083.76

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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.