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Finding the Fourth Proportional to 11,792.96, 16,274.48 and 6,488

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Solution

The fourth proportional to 11,792.96, 16,274.48 and 6,488 is: 8,953.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.96 : 16,274.48 = 6,488 : x
  2. Step 2: Convert to fraction form
    11,792.96/16,274.48 = 6,488/x
  3. Step 3: Cross multiply
    11,792.96x = 16,274.48 × 6,488
  4. Step 4: Simplify right side
    11,792.96x = 105,588,826.24
  5. Step 5: Solve for x
    x = 105,588,826.24/11,792.96
  6. Step 6: Final answer
    x = 8,953.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.