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Finding the Fourth Proportional to 8,002.51, 12,009.03 and 2,808.25

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Solution

The fourth proportional to 8,002.51, 12,009.03 and 2,808.25 is: 4,214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.51 : 12,009.03 = 2,808.25 : x
  2. Step 2: Convert to fraction form
    8,002.51/12,009.03 = 2,808.25/x
  3. Step 3: Cross multiply
    8,002.51x = 12,009.03 × 2,808.25
  4. Step 4: Simplify right side
    8,002.51x = 33,724,358.50
  5. Step 5: Solve for x
    x = 33,724,358.50/8,002.51
  6. Step 6: Final answer
    x = 4,214.22

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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.