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Finding the Fourth Proportional to 5,567.70, 8,335.14 and 4,113.36

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Solution

The fourth proportional to 5,567.70, 8,335.14 and 4,113.36 is: 6,157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.70 : 8,335.14 = 4,113.36 : x
  2. Step 2: Convert to fraction form
    5,567.70/8,335.14 = 4,113.36/x
  3. Step 3: Cross multiply
    5,567.70x = 8,335.14 × 4,113.36
  4. Step 4: Simplify right side
    5,567.70x = 34,285,431.47
  5. Step 5: Solve for x
    x = 34,285,431.47/5,567.70
  6. Step 6: Final answer
    x = 6,157.92

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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.