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Finding the Fourth Proportional to 8,339.70, 11,510.73 and 5,507.58

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Solution

The fourth proportional to 8,339.70, 11,510.73 and 5,507.58 is: 7,601.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339.70 : 11,510.73 = 5,507.58 : x
  2. Step 2: Convert to fraction form
    8,339.70/11,510.73 = 5,507.58/x
  3. Step 3: Cross multiply
    8,339.70x = 11,510.73 × 5,507.58
  4. Step 4: Simplify right side
    8,339.70x = 63,396,266.33
  5. Step 5: Solve for x
    x = 63,396,266.33/8,339.70
  6. Step 6: Final answer
    x = 7,601.74

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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.