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Finding the Fourth Proportional to 7,283.16, 10,926.36 and 2,089.44

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Solution

The fourth proportional to 7,283.16, 10,926.36 and 2,089.44 is: 3,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.16 : 10,926.36 = 2,089.44 : x
  2. Step 2: Convert to fraction form
    7,283.16/10,926.36 = 2,089.44/x
  3. Step 3: Cross multiply
    7,283.16x = 10,926.36 × 2,089.44
  4. Step 4: Simplify right side
    7,283.16x = 22,829,973.64
  5. Step 5: Solve for x
    x = 22,829,973.64/7,283.16
  6. Step 6: Final answer
    x = 3,134.62

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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.