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Finding the Fourth Proportional to 8,410.96, 12,602.04 and 4,503.76

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Solution

The fourth proportional to 8,410.96, 12,602.04 and 4,503.76 is: 6,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.96 : 12,602.04 = 4,503.76 : x
  2. Step 2: Convert to fraction form
    8,410.96/12,602.04 = 4,503.76/x
  3. Step 3: Cross multiply
    8,410.96x = 12,602.04 × 4,503.76
  4. Step 4: Simplify right side
    8,410.96x = 56,756,563.67
  5. Step 5: Solve for x
    x = 56,756,563.67/8,410.96
  6. Step 6: Final answer
    x = 6,747.93

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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.