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Finding the Fourth Proportional to 10,712.80, 16,056.78 and 6,333.94

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Solution

The fourth proportional to 10,712.80, 16,056.78 and 6,333.94 is: 9,493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.80 : 16,056.78 = 6,333.94 : x
  2. Step 2: Convert to fraction form
    10,712.80/16,056.78 = 6,333.94/x
  3. Step 3: Cross multiply
    10,712.80x = 16,056.78 × 6,333.94
  4. Step 4: Simplify right side
    10,712.80x = 101,702,681.11
  5. Step 5: Solve for x
    x = 101,702,681.11/10,712.80
  6. Step 6: Final answer
    x = 9,493.57

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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.