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Finding the Fourth Proportional to 6,963.84, 10,427.04 and 3,670.08

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Solution

The fourth proportional to 6,963.84, 10,427.04 and 3,670.08 is: 5,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.84 : 10,427.04 = 3,670.08 : x
  2. Step 2: Convert to fraction form
    6,963.84/10,427.04 = 3,670.08/x
  3. Step 3: Cross multiply
    6,963.84x = 10,427.04 × 3,670.08
  4. Step 4: Simplify right side
    6,963.84x = 38,268,070.96
  5. Step 5: Solve for x
    x = 38,268,070.96/6,963.84
  6. Step 6: Final answer
    x = 5,495.25

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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.