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Finding the Fourth Proportional to 11,788.34, 16,268.10 and 6,483.11

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Solution

The fourth proportional to 11,788.34, 16,268.10 and 6,483.11 is: 8,946.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.34 : 16,268.10 = 6,483.11 : x
  2. Step 2: Convert to fraction form
    11,788.34/16,268.10 = 6,483.11/x
  3. Step 3: Cross multiply
    11,788.34x = 16,268.10 × 6,483.11
  4. Step 4: Simplify right side
    11,788.34x = 105,467,881.79
  5. Step 5: Solve for x
    x = 105,467,881.79/11,788.34
  6. Step 6: Final answer
    x = 8,946.80

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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.