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Finding the Fourth Proportional to 7,567.59, 11,354.22 and 3,406.35

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Solution

The fourth proportional to 7,567.59, 11,354.22 and 3,406.35 is: 5,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.59 : 11,354.22 = 3,406.35 : x
  2. Step 2: Convert to fraction form
    7,567.59/11,354.22 = 3,406.35/x
  3. Step 3: Cross multiply
    7,567.59x = 11,354.22 × 3,406.35
  4. Step 4: Simplify right side
    7,567.59x = 38,676,447.30
  5. Step 5: Solve for x
    x = 38,676,447.30/7,567.59
  6. Step 6: Final answer
    x = 5,110.80

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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.