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Finding the Fourth Proportional to 8,404.06, 11,597.61 and 4,678.06

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Solution

The fourth proportional to 8,404.06, 11,597.61 and 4,678.06 is: 6,455.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.06 : 11,597.61 = 4,678.06 : x
  2. Step 2: Convert to fraction form
    8,404.06/11,597.61 = 4,678.06/x
  3. Step 3: Cross multiply
    8,404.06x = 11,597.61 × 4,678.06
  4. Step 4: Simplify right side
    8,404.06x = 54,254,315.44
  5. Step 5: Solve for x
    x = 54,254,315.44/8,404.06
  6. Step 6: Final answer
    x = 6,455.73

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