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Finding the Fourth Proportional to 11,733.84, 16,193.04 and 6,429

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Solution

The fourth proportional to 11,733.84, 16,193.04 and 6,429 is: 8,872.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,733.84 : 16,193.04 = 6,429 : x
  2. Step 2: Convert to fraction form
    11,733.84/16,193.04 = 6,429/x
  3. Step 3: Cross multiply
    11,733.84x = 16,193.04 × 6,429
  4. Step 4: Simplify right side
    11,733.84x = 104,105,054.16
  5. Step 5: Solve for x
    x = 104,105,054.16/11,733.84
  6. Step 6: Final answer
    x = 8,872.21

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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.