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Finding the Fourth Proportional to 7,240.56, 9,982.08 and 4,971.84

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Solution

The fourth proportional to 7,240.56, 9,982.08 and 4,971.84 is: 6,854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.56 : 9,982.08 = 4,971.84 : x
  2. Step 2: Convert to fraction form
    7,240.56/9,982.08 = 4,971.84/x
  3. Step 3: Cross multiply
    7,240.56x = 9,982.08 × 4,971.84
  4. Step 4: Simplify right side
    7,240.56x = 49,629,304.63
  5. Step 5: Solve for x
    x = 49,629,304.63/7,240.56
  6. Step 6: Final answer
    x = 6,854.35

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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.