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Finding the Fourth Proportional to 11,604.24, 16,015.88 and 6,890

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Solution

The fourth proportional to 11,604.24, 16,015.88 and 6,890 is: 9,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.24 : 16,015.88 = 6,890 : x
  2. Step 2: Convert to fraction form
    11,604.24/16,015.88 = 6,890/x
  3. Step 3: Cross multiply
    11,604.24x = 16,015.88 × 6,890
  4. Step 4: Simplify right side
    11,604.24x = 110,349,413.20
  5. Step 5: Solve for x
    x = 110,349,413.20/11,604.24
  6. Step 6: Final answer
    x = 9,509.40

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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.