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Finding the Fourth Proportional to 6,980.32, 10,444.80 and 4,208.72

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Solution

The fourth proportional to 6,980.32, 10,444.80 and 4,208.72 is: 6,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.32 : 10,444.80 = 4,208.72 : x
  2. Step 2: Convert to fraction form
    6,980.32/10,444.80 = 4,208.72/x
  3. Step 3: Cross multiply
    6,980.32x = 10,444.80 × 4,208.72
  4. Step 4: Simplify right side
    6,980.32x = 43,959,238.66
  5. Step 5: Solve for x
    x = 43,959,238.66/6,980.32
  6. Step 6: Final answer
    x = 6,297.60

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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.