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Finding the Fourth Proportional to 11,688.12, 16,130.03 and 6,383.16

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Solution

The fourth proportional to 11,688.12, 16,130.03 and 6,383.16 is: 8,808.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.12 : 16,130.03 = 6,383.16 : x
  2. Step 2: Convert to fraction form
    11,688.12/16,130.03 = 6,383.16/x
  3. Step 3: Cross multiply
    11,688.12x = 16,130.03 × 6,383.16
  4. Step 4: Simplify right side
    11,688.12x = 102,960,530.38
  5. Step 5: Solve for x
    x = 102,960,530.38/11,688.12
  6. Step 6: Final answer
    x = 8,808.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.