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Finding the Fourth Proportional to 8,307.72, 11,465.91 and 5,164.92

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Solution

The fourth proportional to 8,307.72, 11,465.91 and 5,164.92 is: 7,128.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.72 : 11,465.91 = 5,164.92 : x
  2. Step 2: Convert to fraction form
    8,307.72/11,465.91 = 5,164.92/x
  3. Step 3: Cross multiply
    8,307.72x = 11,465.91 × 5,164.92
  4. Step 4: Simplify right side
    8,307.72x = 59,220,507.88
  5. Step 5: Solve for x
    x = 59,220,507.88/8,307.72
  6. Step 6: Final answer
    x = 7,128.37

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1.5x scale

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.