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Finding the Fourth Proportional to 11,684.29, 16,124.10 and 6,648.40

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Solution

The fourth proportional to 11,684.29, 16,124.10 and 6,648.40 is: 9,174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.29 : 16,124.10 = 6,648.40 : x
  2. Step 2: Convert to fraction form
    11,684.29/16,124.10 = 6,648.40/x
  3. Step 3: Cross multiply
    11,684.29x = 16,124.10 × 6,648.40
  4. Step 4: Simplify right side
    11,684.29x = 107,199,385.82
  5. Step 5: Solve for x
    x = 107,199,385.82/11,684.29
  6. Step 6: Final answer
    x = 9,174.66

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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.