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Finding the Fourth Proportional to 12,808.09, 19,214.12 and 5,412.58

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Solution

The fourth proportional to 12,808.09, 19,214.12 and 5,412.58 is: 8,119.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.09 : 19,214.12 = 5,412.58 : x
  2. Step 2: Convert to fraction form
    12,808.09/19,214.12 = 5,412.58/x
  3. Step 3: Cross multiply
    12,808.09x = 19,214.12 × 5,412.58
  4. Step 4: Simplify right side
    12,808.09x = 103,997,838.50
  5. Step 5: Solve for x
    x = 103,997,838.50/12,808.09
  6. Step 6: Final answer
    x = 8,119.70

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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.