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Finding the Fourth Proportional to 12,384.01, 18,582.09 and 5,810.73

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Solution

The fourth proportional to 12,384.01, 18,582.09 and 5,810.73 is: 8,718.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.01 : 18,582.09 = 5,810.73 : x
  2. Step 2: Convert to fraction form
    12,384.01/18,582.09 = 5,810.73/x
  3. Step 3: Cross multiply
    12,384.01x = 18,582.09 × 5,810.73
  4. Step 4: Simplify right side
    12,384.01x = 107,975,507.83
  5. Step 5: Solve for x
    x = 107,975,507.83/12,384.01
  6. Step 6: Final answer
    x = 8,718.95

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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.