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Finding the Fourth Proportional to 7,103.40, 10,654.74 and 1,909.32

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Solution

The fourth proportional to 7,103.40, 10,654.74 and 1,909.32 is: 2,863.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.40 : 10,654.74 = 1,909.32 : x
  2. Step 2: Convert to fraction form
    7,103.40/10,654.74 = 1,909.32/x
  3. Step 3: Cross multiply
    7,103.40x = 10,654.74 × 1,909.32
  4. Step 4: Simplify right side
    7,103.40x = 20,343,308.18
  5. Step 5: Solve for x
    x = 20,343,308.18/7,103.40
  6. Step 6: Final answer
    x = 2,863.88

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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.