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Finding the Fourth Proportional to 6,840.84, 10,261.28 and 5,283.12

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Solution

The fourth proportional to 6,840.84, 10,261.28 and 5,283.12 is: 7,924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.84 : 10,261.28 = 5,283.12 : x
  2. Step 2: Convert to fraction form
    6,840.84/10,261.28 = 5,283.12/x
  3. Step 3: Cross multiply
    6,840.84x = 10,261.28 × 5,283.12
  4. Step 4: Simplify right side
    6,840.84x = 54,211,573.59
  5. Step 5: Solve for x
    x = 54,211,573.59/6,840.84
  6. Step 6: Final answer
    x = 7,924.70

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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.