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Finding the Fourth Proportional to 10,667.64, 16,009.08 and 4,009.92

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Solution

The fourth proportional to 10,667.64, 16,009.08 and 4,009.92 is: 6,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.64 : 16,009.08 = 4,009.92 : x
  2. Step 2: Convert to fraction form
    10,667.64/16,009.08 = 4,009.92/x
  3. Step 3: Cross multiply
    10,667.64x = 16,009.08 × 4,009.92
  4. Step 4: Simplify right side
    10,667.64x = 64,195,130.07
  5. Step 5: Solve for x
    x = 64,195,130.07/10,667.64
  6. Step 6: Final answer
    x = 6,017.74

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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.