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Finding the Fourth Proportional to 8,089.95, 11,164.82 and 4,734.57

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Solution

The fourth proportional to 8,089.95, 11,164.82 and 4,734.57 is: 6,534.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.95 : 11,164.82 = 4,734.57 : x
  2. Step 2: Convert to fraction form
    8,089.95/11,164.82 = 4,734.57/x
  3. Step 3: Cross multiply
    8,089.95x = 11,164.82 × 4,734.57
  4. Step 4: Simplify right side
    8,089.95x = 52,860,598.15
  5. Step 5: Solve for x
    x = 52,860,598.15/8,089.95
  6. Step 6: Final answer
    x = 6,534.11

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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.