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Finding the Fourth Proportional to 7,825.60, 10,797.06 and 4,637.44

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Solution

The fourth proportional to 7,825.60, 10,797.06 and 4,637.44 is: 6,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.60 : 10,797.06 = 4,637.44 : x
  2. Step 2: Convert to fraction form
    7,825.60/10,797.06 = 4,637.44/x
  3. Step 3: Cross multiply
    7,825.60x = 10,797.06 × 4,637.44
  4. Step 4: Simplify right side
    7,825.60x = 50,070,717.93
  5. Step 5: Solve for x
    x = 50,070,717.93/7,825.60
  6. Step 6: Final answer
    x = 6,398.32

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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.