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Finding the Fourth Proportional to 8,073.04, 12,102 and 3,141.60

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Solution

The fourth proportional to 8,073.04, 12,102 and 3,141.60 is: 4,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.04 : 12,102 = 3,141.60 : x
  2. Step 2: Convert to fraction form
    8,073.04/12,102 = 3,141.60/x
  3. Step 3: Cross multiply
    8,073.04x = 12,102 × 3,141.60
  4. Step 4: Simplify right side
    8,073.04x = 38,019,643.20
  5. Step 5: Solve for x
    x = 38,019,643.20/8,073.04
  6. Step 6: Final answer
    x = 4,709.46

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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.