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Finding the Fourth Proportional to 11,792.82, 16,274.10 and 6,488.04

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Solution

The fourth proportional to 11,792.82, 16,274.10 and 6,488.04 is: 8,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.82 : 16,274.10 = 6,488.04 : x
  2. Step 2: Convert to fraction form
    11,792.82/16,274.10 = 6,488.04/x
  3. Step 3: Cross multiply
    11,792.82x = 16,274.10 × 6,488.04
  4. Step 4: Simplify right side
    11,792.82x = 105,587,011.76
  5. Step 5: Solve for x
    x = 105,587,011.76/11,792.82
  6. Step 6: Final answer
    x = 8,953.50

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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.