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Finding the Fourth Proportional to 7,567.16, 11,353.86 and 3,348.20

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Solution

The fourth proportional to 7,567.16, 11,353.86 and 3,348.20 is: 5,023.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.16 : 11,353.86 = 3,348.20 : x
  2. Step 2: Convert to fraction form
    7,567.16/11,353.86 = 3,348.20/x
  3. Step 3: Cross multiply
    7,567.16x = 11,353.86 × 3,348.20
  4. Step 4: Simplify right side
    7,567.16x = 38,014,937.28
  5. Step 5: Solve for x
    x = 38,014,937.28/7,567.16
  6. Step 6: Final answer
    x = 5,023.68

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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.