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Finding the Fourth Proportional to 6,518.62, 8,995.74 and 3,534.50

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Solution

The fourth proportional to 6,518.62, 8,995.74 and 3,534.50 is: 4,877.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.62 : 8,995.74 = 3,534.50 : x
  2. Step 2: Convert to fraction form
    6,518.62/8,995.74 = 3,534.50/x
  3. Step 3: Cross multiply
    6,518.62x = 8,995.74 × 3,534.50
  4. Step 4: Simplify right side
    6,518.62x = 31,795,443.03
  5. Step 5: Solve for x
    x = 31,795,443.03/6,518.62
  6. Step 6: Final answer
    x = 4,877.63

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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.