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Finding the Fourth Proportional to 11,164.16, 16,648.80 and 9,783.92

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Solution

The fourth proportional to 11,164.16, 16,648.80 and 9,783.92 is: 14,590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.16 : 16,648.80 = 9,783.92 : x
  2. Step 2: Convert to fraction form
    11,164.16/16,648.80 = 9,783.92/x
  3. Step 3: Cross multiply
    11,164.16x = 16,648.80 × 9,783.92
  4. Step 4: Simplify right side
    11,164.16x = 162,890,527.30
  5. Step 5: Solve for x
    x = 162,890,527.30/11,164.16
  6. Step 6: Final answer
    x = 14,590.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.