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Finding the Fourth Proportional to 8,526.63, 12,793.68 and 2,983.98

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Solution

The fourth proportional to 8,526.63, 12,793.68 and 2,983.98 is: 4,477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.63 : 12,793.68 = 2,983.98 : x
  2. Step 2: Convert to fraction form
    8,526.63/12,793.68 = 2,983.98/x
  3. Step 3: Cross multiply
    8,526.63x = 12,793.68 × 2,983.98
  4. Step 4: Simplify right side
    8,526.63x = 38,176,085.25
  5. Step 5: Solve for x
    x = 38,176,085.25/8,526.63
  6. Step 6: Final answer
    x = 4,477.28

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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.