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Finding the Fourth Proportional to 12,810.86, 19,208.00 and 5,020.46

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Solution

The fourth proportional to 12,810.86, 19,208.00 and 5,020.46 is: 7,527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.86 : 19,208.00 = 5,020.46 : x
  2. Step 2: Convert to fraction form
    12,810.86/19,208.00 = 5,020.46/x
  3. Step 3: Cross multiply
    12,810.86x = 19,208.00 × 5,020.46
  4. Step 4: Simplify right side
    12,810.86x = 96,432,912.19
  5. Step 5: Solve for x
    x = 96,432,912.19/12,810.86
  6. Step 6: Final answer
    x = 7,527.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.