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Finding the Fourth Proportional to 11,967.85, 16,513.12 and 6,931.76

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Solution

The fourth proportional to 11,967.85, 16,513.12 and 6,931.76 is: 9,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.85 : 16,513.12 = 6,931.76 : x
  2. Step 2: Convert to fraction form
    11,967.85/16,513.12 = 6,931.76/x
  3. Step 3: Cross multiply
    11,967.85x = 16,513.12 × 6,931.76
  4. Step 4: Simplify right side
    11,967.85x = 114,464,984.69
  5. Step 5: Solve for x
    x = 114,464,984.69/11,967.85
  6. Step 6: Final answer
    x = 9,564.38

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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.