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Finding the Fourth Proportional to 7,438.08, 10,262.16 and 4,454.40

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Solution

The fourth proportional to 7,438.08, 10,262.16 and 4,454.40 is: 6,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.08 : 10,262.16 = 4,454.40 : x
  2. Step 2: Convert to fraction form
    7,438.08/10,262.16 = 4,454.40/x
  3. Step 3: Cross multiply
    7,438.08x = 10,262.16 × 4,454.40
  4. Step 4: Simplify right side
    7,438.08x = 45,711,765.50
  5. Step 5: Solve for x
    x = 45,711,765.50/7,438.08
  6. Step 6: Final answer
    x = 6,145.64

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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.