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Finding the Fourth Proportional to 11,610, 16,021.66 and 6,304.86

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Solution

The fourth proportional to 11,610, 16,021.66 and 6,304.86 is: 8,700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610 : 16,021.66 = 6,304.86 : x
  2. Step 2: Convert to fraction form
    11,610/16,021.66 = 6,304.86/x
  3. Step 3: Cross multiply
    11,610x = 16,021.66 × 6,304.86
  4. Step 4: Simplify right side
    11,610x = 101,014,227.40
  5. Step 5: Solve for x
    x = 101,014,227.40/11,610
  6. Step 6: Final answer
    x = 8,700.62

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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.