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Finding the Fourth Proportional to 7,723.42, 11,585.01 and 1,880.01

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Solution

The fourth proportional to 7,723.42, 11,585.01 and 1,880.01 is: 2,819.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.42 : 11,585.01 = 1,880.01 : x
  2. Step 2: Convert to fraction form
    7,723.42/11,585.01 = 1,880.01/x
  3. Step 3: Cross multiply
    7,723.42x = 11,585.01 × 1,880.01
  4. Step 4: Simplify right side
    7,723.42x = 21,779,934.65
  5. Step 5: Solve for x
    x = 21,779,934.65/7,723.42
  6. Step 6: Final answer
    x = 2,819.99

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Why These Related Problems?

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