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Finding the Fourth Proportional to 8,130, 12,196.08 and 3,514.08

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Solution

The fourth proportional to 8,130, 12,196.08 and 3,514.08 is: 5,271.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130 : 12,196.08 = 3,514.08 : x
  2. Step 2: Convert to fraction form
    8,130/12,196.08 = 3,514.08/x
  3. Step 3: Cross multiply
    8,130x = 12,196.08 × 3,514.08
  4. Step 4: Simplify right side
    8,130x = 42,858,000.81
  5. Step 5: Solve for x
    x = 42,858,000.81/8,130
  6. Step 6: Final answer
    x = 5,271.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.