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Finding the Fourth Proportional to 10,667.30, 15,999.91 and 6,016.16

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Solution

The fourth proportional to 10,667.30, 15,999.91 and 6,016.16 is: 9,023.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.30 : 15,999.91 = 6,016.16 : x
  2. Step 2: Convert to fraction form
    10,667.30/15,999.91 = 6,016.16/x
  3. Step 3: Cross multiply
    10,667.30x = 15,999.91 × 6,016.16
  4. Step 4: Simplify right side
    10,667.30x = 96,258,043.50
  5. Step 5: Solve for x
    x = 96,258,043.50/10,667.30
  6. Step 6: Final answer
    x = 9,023.66

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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.