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Finding the Fourth Proportional to 8,283.66, 11,427.63 and 5,298

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Solution

The fourth proportional to 8,283.66, 11,427.63 and 5,298 is: 7,308.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.66 : 11,427.63 = 5,298 : x
  2. Step 2: Convert to fraction form
    8,283.66/11,427.63 = 5,298/x
  3. Step 3: Cross multiply
    8,283.66x = 11,427.63 × 5,298
  4. Step 4: Simplify right side
    8,283.66x = 60,543,583.74
  5. Step 5: Solve for x
    x = 60,543,583.74/8,283.66
  6. Step 6: Final answer
    x = 7,308.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.