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Finding the Fourth Proportional to 8,477.29, 11,698.51 and 4,648.96

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Solution

The fourth proportional to 8,477.29, 11,698.51 and 4,648.96 is: 6,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.29 : 11,698.51 = 4,648.96 : x
  2. Step 2: Convert to fraction form
    8,477.29/11,698.51 = 4,648.96/x
  3. Step 3: Cross multiply
    8,477.29x = 11,698.51 × 4,648.96
  4. Step 4: Simplify right side
    8,477.29x = 54,385,905.05
  5. Step 5: Solve for x
    x = 54,385,905.05/8,477.29
  6. Step 6: Final answer
    x = 6,415.48

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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.