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Finding the Fourth Proportional to 11,671.84, 16,108.48 and 6,498.24

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Solution

The fourth proportional to 11,671.84, 16,108.48 and 6,498.24 is: 8,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.84 : 16,108.48 = 6,498.24 : x
  2. Step 2: Convert to fraction form
    11,671.84/16,108.48 = 6,498.24/x
  3. Step 3: Cross multiply
    11,671.84x = 16,108.48 × 6,498.24
  4. Step 4: Simplify right side
    11,671.84x = 104,676,769.08
  5. Step 5: Solve for x
    x = 104,676,769.08/11,671.84
  6. Step 6: Final answer
    x = 8,968.32

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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.