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Finding the Fourth Proportional to 8,065.64, 12,093.42 and 4,598.12

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Solution

The fourth proportional to 8,065.64, 12,093.42 and 4,598.12 is: 6,894.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.64 : 12,093.42 = 4,598.12 : x
  2. Step 2: Convert to fraction form
    8,065.64/12,093.42 = 4,598.12/x
  3. Step 3: Cross multiply
    8,065.64x = 12,093.42 × 4,598.12
  4. Step 4: Simplify right side
    8,065.64x = 55,606,996.37
  5. Step 5: Solve for x
    x = 55,606,996.37/8,065.64
  6. Step 6: Final answer
    x = 6,894.31

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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.