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Finding the Fourth Proportional to 7,103.80, 10,655.68 and 1,909.28

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Solution

The fourth proportional to 7,103.80, 10,655.68 and 1,909.28 is: 2,863.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.80 : 10,655.68 = 1,909.28 : x
  2. Step 2: Convert to fraction form
    7,103.80/10,655.68 = 1,909.28/x
  3. Step 3: Cross multiply
    7,103.80x = 10,655.68 × 1,909.28
  4. Step 4: Simplify right side
    7,103.80x = 20,344,676.71
  5. Step 5: Solve for x
    x = 20,344,676.71/7,103.80
  6. Step 6: Final answer
    x = 2,863.91

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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.