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Finding the Fourth Proportional to 10,021.75, 13,830.03 and 5,545.80

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Solution

The fourth proportional to 10,021.75, 13,830.03 and 5,545.80 is: 7,653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.75 : 13,830.03 = 5,545.80 : x
  2. Step 2: Convert to fraction form
    10,021.75/13,830.03 = 5,545.80/x
  3. Step 3: Cross multiply
    10,021.75x = 13,830.03 × 5,545.80
  4. Step 4: Simplify right side
    10,021.75x = 76,698,628.81
  5. Step 5: Solve for x
    x = 76,698,628.81/10,021.75
  6. Step 6: Final answer
    x = 7,653.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.