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Finding the Fourth Proportional to 9,082.88, 12,533.40 and 5,306

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Solution

The fourth proportional to 9,082.88, 12,533.40 and 5,306 is: 7,321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.88 : 12,533.40 = 5,306 : x
  2. Step 2: Convert to fraction form
    9,082.88/12,533.40 = 5,306/x
  3. Step 3: Cross multiply
    9,082.88x = 12,533.40 × 5,306
  4. Step 4: Simplify right side
    9,082.88x = 66,502,220.40
  5. Step 5: Solve for x
    x = 66,502,220.40/9,082.88
  6. Step 6: Final answer
    x = 7,321.71

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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.