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Finding the Fourth Proportional to 8,271.50, 12,407.26 and 7,856.24

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Solution

The fourth proportional to 8,271.50, 12,407.26 and 7,856.24 is: 11,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.50 : 12,407.26 = 7,856.24 : x
  2. Step 2: Convert to fraction form
    8,271.50/12,407.26 = 7,856.24/x
  3. Step 3: Cross multiply
    8,271.50x = 12,407.26 × 7,856.24
  4. Step 4: Simplify right side
    8,271.50x = 97,474,412.30
  5. Step 5: Solve for x
    x = 97,474,412.30/8,271.50
  6. Step 6: Final answer
    x = 11,784.37

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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.