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Finding the Fourth Proportional to 11,667.64, 16,098.58 and 6,887.76

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Solution

The fourth proportional to 11,667.64, 16,098.58 and 6,887.76 is: 9,503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.64 : 16,098.58 = 6,887.76 : x
  2. Step 2: Convert to fraction form
    11,667.64/16,098.58 = 6,887.76/x
  3. Step 3: Cross multiply
    11,667.64x = 16,098.58 × 6,887.76
  4. Step 4: Simplify right side
    11,667.64x = 110,883,155.38
  5. Step 5: Solve for x
    x = 110,883,155.38/11,667.64
  6. Step 6: Final answer
    x = 9,503.48

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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.