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Finding the Fourth Proportional to 8,354.07, 11,529.00 and 4,770.00

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Solution

The fourth proportional to 8,354.07, 11,529.00 and 4,770.00 is: 6,582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.07 : 11,529.00 = 4,770.00 : x
  2. Step 2: Convert to fraction form
    8,354.07/11,529.00 = 4,770.00/x
  3. Step 3: Cross multiply
    8,354.07x = 11,529.00 × 4,770.00
  4. Step 4: Simplify right side
    8,354.07x = 54,993,362.30
  5. Step 5: Solve for x
    x = 54,993,362.30/8,354.07
  6. Step 6: Final answer
    x = 6,582.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.