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Finding the Fourth Proportional to 8,275.99, 12,407 and 3,592.47

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Solution

The fourth proportional to 8,275.99, 12,407 and 3,592.47 is: 5,385.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.99 : 12,407 = 3,592.47 : x
  2. Step 2: Convert to fraction form
    8,275.99/12,407 = 3,592.47/x
  3. Step 3: Cross multiply
    8,275.99x = 12,407 × 3,592.47
  4. Step 4: Simplify right side
    8,275.99x = 44,571,713.26
  5. Step 5: Solve for x
    x = 44,571,713.26/8,275.99
  6. Step 6: Final answer
    x = 5,385.67

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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.