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Finding the Fourth Proportional to 12,587.01, 18,880.58 and 3,822

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Solution

The fourth proportional to 12,587.01, 18,880.58 and 3,822 is: 5,733.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,587.01 : 18,880.58 = 3,822 : x
  2. Step 2: Convert to fraction form
    12,587.01/18,880.58 = 3,822/x
  3. Step 3: Cross multiply
    12,587.01x = 18,880.58 × 3,822
  4. Step 4: Simplify right side
    12,587.01x = 72,161,557.65
  5. Step 5: Solve for x
    x = 72,161,557.65/12,587.01
  6. Step 6: Final answer
    x = 5,733.02

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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.