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Finding the Fourth Proportional to 11,223.40, 16,802.70 and 6,849.40

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Solution

The fourth proportional to 11,223.40, 16,802.70 and 6,849.40 is: 10,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223.40 : 16,802.70 = 6,849.40 : x
  2. Step 2: Convert to fraction form
    11,223.40/16,802.70 = 6,849.40/x
  3. Step 3: Cross multiply
    11,223.40x = 16,802.70 × 6,849.40
  4. Step 4: Simplify right side
    11,223.40x = 115,088,413.38
  5. Step 5: Solve for x
    x = 115,088,413.38/11,223.40
  6. Step 6: Final answer
    x = 10,254.33

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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.