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Finding the Fourth Proportional to 8,502.76, 12,762.30 and 6,960.52

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Solution

The fourth proportional to 8,502.76, 12,762.30 and 6,960.52 is: 10,447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.76 : 12,762.30 = 6,960.52 : x
  2. Step 2: Convert to fraction form
    8,502.76/12,762.30 = 6,960.52/x
  3. Step 3: Cross multiply
    8,502.76x = 12,762.30 × 6,960.52
  4. Step 4: Simplify right side
    8,502.76x = 88,832,244.40
  5. Step 5: Solve for x
    x = 88,832,244.40/8,502.76
  6. Step 6: Final answer
    x = 10,447.46

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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.