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Finding the Fourth Proportional to 10,204.26, 15,274.56 and 7,858.20

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Solution

The fourth proportional to 10,204.26, 15,274.56 and 7,858.20 is: 11,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.26 : 15,274.56 = 7,858.20 : x
  2. Step 2: Convert to fraction form
    10,204.26/15,274.56 = 7,858.20/x
  3. Step 3: Cross multiply
    10,204.26x = 15,274.56 × 7,858.20
  4. Step 4: Simplify right side
    10,204.26x = 120,030,547.39
  5. Step 5: Solve for x
    x = 120,030,547.39/10,204.26
  6. Step 6: Final answer
    x = 11,762.79

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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.