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Finding the Fourth Proportional to 6,498.24, 8,968.32 and 3,703.68

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Solution

The fourth proportional to 6,498.24, 8,968.32 and 3,703.68 is: 5,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.24 : 8,968.32 = 3,703.68 : x
  2. Step 2: Convert to fraction form
    6,498.24/8,968.32 = 3,703.68/x
  3. Step 3: Cross multiply
    6,498.24x = 8,968.32 × 3,703.68
  4. Step 4: Simplify right side
    6,498.24x = 33,215,787.42
  5. Step 5: Solve for x
    x = 33,215,787.42/6,498.24
  6. Step 6: Final answer
    x = 5,111.51

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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.