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Finding the Fourth Proportional to 7,567.83, 11,347.90 and 4,011.91

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Solution

The fourth proportional to 7,567.83, 11,347.90 and 4,011.91 is: 6,015.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.83 : 11,347.90 = 4,011.91 : x
  2. Step 2: Convert to fraction form
    7,567.83/11,347.90 = 4,011.91/x
  3. Step 3: Cross multiply
    7,567.83x = 11,347.90 × 4,011.91
  4. Step 4: Simplify right side
    7,567.83x = 45,526,753.49
  5. Step 5: Solve for x
    x = 45,526,753.49/7,567.83
  6. Step 6: Final answer
    x = 6,015.83

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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.