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Finding the Fourth Proportional to 8,477.89, 11,698.36 and 4,700.86

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Solution

The fourth proportional to 8,477.89, 11,698.36 and 4,700.86 is: 6,486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.89 : 11,698.36 = 4,700.86 : x
  2. Step 2: Convert to fraction form
    8,477.89/11,698.36 = 4,700.86/x
  3. Step 3: Cross multiply
    8,477.89x = 11,698.36 × 4,700.86
  4. Step 4: Simplify right side
    8,477.89x = 54,992,311.59
  5. Step 5: Solve for x
    x = 54,992,311.59/8,477.89
  6. Step 6: Final answer
    x = 6,486.56

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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.