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Finding the Fourth Proportional to 6,985.49, 10,464.19 and 3,232.00

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Solution

The fourth proportional to 6,985.49, 10,464.19 and 3,232.00 is: 4,841.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.49 : 10,464.19 = 3,232.00 : x
  2. Step 2: Convert to fraction form
    6,985.49/10,464.19 = 3,232.00/x
  3. Step 3: Cross multiply
    6,985.49x = 10,464.19 × 3,232.00
  4. Step 4: Simplify right side
    6,985.49x = 33,820,267.08
  5. Step 5: Solve for x
    x = 33,820,267.08/6,985.49
  6. Step 6: Final answer
    x = 4,841.51

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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.