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Finding the Fourth Proportional to 7,298.26, 10,926.72 and 5,673.80

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Solution

The fourth proportional to 7,298.26, 10,926.72 and 5,673.80 is: 8,494.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.26 : 10,926.72 = 5,673.80 : x
  2. Step 2: Convert to fraction form
    7,298.26/10,926.72 = 5,673.80/x
  3. Step 3: Cross multiply
    7,298.26x = 10,926.72 × 5,673.80
  4. Step 4: Simplify right side
    7,298.26x = 61,996,051.25
  5. Step 5: Solve for x
    x = 61,996,051.25/7,298.26
  6. Step 6: Final answer
    x = 8,494.64

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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.