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Finding the Fourth Proportional to 8,454.96, 11,670.21 and 6,775.70

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Solution

The fourth proportional to 8,454.96, 11,670.21 and 6,775.70 is: 9,352.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.96 : 11,670.21 = 6,775.70 : x
  2. Step 2: Convert to fraction form
    8,454.96/11,670.21 = 6,775.70/x
  3. Step 3: Cross multiply
    8,454.96x = 11,670.21 × 6,775.70
  4. Step 4: Simplify right side
    8,454.96x = 79,073,783.55
  5. Step 5: Solve for x
    x = 79,073,783.55/8,454.96
  6. Step 6: Final answer
    x = 9,352.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.