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Finding the Fourth Proportional to 10,808.32, 16,212.48 and 4,648

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Solution

The fourth proportional to 10,808.32, 16,212.48 and 4,648 is: 6,972.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.32 : 16,212.48 = 4,648 : x
  2. Step 2: Convert to fraction form
    10,808.32/16,212.48 = 4,648/x
  3. Step 3: Cross multiply
    10,808.32x = 16,212.48 × 4,648
  4. Step 4: Simplify right side
    10,808.32x = 75,355,607.04
  5. Step 5: Solve for x
    x = 75,355,607.04/10,808.32
  6. Step 6: Final answer
    x = 6,972.00

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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.