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Finding the Fourth Proportional to 7,047.36, 10,562.88 and 3,926.64

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Solution

The fourth proportional to 7,047.36, 10,562.88 and 3,926.64 is: 5,885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.36 : 10,562.88 = 3,926.64 : x
  2. Step 2: Convert to fraction form
    7,047.36/10,562.88 = 3,926.64/x
  3. Step 3: Cross multiply
    7,047.36x = 10,562.88 × 3,926.64
  4. Step 4: Simplify right side
    7,047.36x = 41,476,627.12
  5. Step 5: Solve for x
    x = 41,476,627.12/7,047.36
  6. Step 6: Final answer
    x = 5,885.41

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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.