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Finding the Fourth Proportional to 8,762.00, 13,135.17 and 3,214.04

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Solution

The fourth proportional to 8,762.00, 13,135.17 and 3,214.04 is: 4,818.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.00 : 13,135.17 = 3,214.04 : x
  2. Step 2: Convert to fraction form
    8,762.00/13,135.17 = 3,214.04/x
  3. Step 3: Cross multiply
    8,762.00x = 13,135.17 × 3,214.04
  4. Step 4: Simplify right side
    8,762.00x = 42,216,961.79
  5. Step 5: Solve for x
    x = 42,216,961.79/8,762.00
  6. Step 6: Final answer
    x = 4,818.19

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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.