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Finding the Fourth Proportional to 7,378.64, 10,181.64 and 4,394.60

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Solution

The fourth proportional to 7,378.64, 10,181.64 and 4,394.60 is: 6,064.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.64 : 10,181.64 = 4,394.60 : x
  2. Step 2: Convert to fraction form
    7,378.64/10,181.64 = 4,394.60/x
  3. Step 3: Cross multiply
    7,378.64x = 10,181.64 × 4,394.60
  4. Step 4: Simplify right side
    7,378.64x = 44,744,235.14
  5. Step 5: Solve for x
    x = 44,744,235.14/7,378.64
  6. Step 6: Final answer
    x = 6,064.02

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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.