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Finding the Fourth Proportional to 8,530.76, 11,712.38 and 8,012.36

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Solution

The fourth proportional to 8,530.76, 11,712.38 and 8,012.36 is: 11,000.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.76 : 11,712.38 = 8,012.36 : x
  2. Step 2: Convert to fraction form
    8,530.76/11,712.38 = 8,012.36/x
  3. Step 3: Cross multiply
    8,530.76x = 11,712.38 × 8,012.36
  4. Step 4: Simplify right side
    8,530.76x = 93,843,805.02
  5. Step 5: Solve for x
    x = 93,843,805.02/8,530.76
  6. Step 6: Final answer
    x = 11,000.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.