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Finding the Fourth Proportional to 8,648.40, 12,972.80 and 3,102.12

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Solution

The fourth proportional to 8,648.40, 12,972.80 and 3,102.12 is: 4,653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.40 : 12,972.80 = 3,102.12 : x
  2. Step 2: Convert to fraction form
    8,648.40/12,972.80 = 3,102.12/x
  3. Step 3: Cross multiply
    8,648.40x = 12,972.80 × 3,102.12
  4. Step 4: Simplify right side
    8,648.40x = 40,243,182.34
  5. Step 5: Solve for x
    x = 40,243,182.34/8,648.40
  6. Step 6: Final answer
    x = 4,653.25

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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.