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Finding the Fourth Proportional to 10,021.95, 13,830.09 and 5,545.70

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Solution

The fourth proportional to 10,021.95, 13,830.09 and 5,545.70 is: 7,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.95 : 13,830.09 = 5,545.70 : x
  2. Step 2: Convert to fraction form
    10,021.95/13,830.09 = 5,545.70/x
  3. Step 3: Cross multiply
    10,021.95x = 13,830.09 × 5,545.70
  4. Step 4: Simplify right side
    10,021.95x = 76,697,608.82
  5. Step 5: Solve for x
    x = 76,697,608.82/10,021.95
  6. Step 6: Final answer
    x = 7,652.96

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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.