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Finding the Fourth Proportional to 11,788.48, 16,267.92 and 6,483.12

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Solution

The fourth proportional to 11,788.48, 16,267.92 and 6,483.12 is: 8,946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.48 : 16,267.92 = 6,483.12 : x
  2. Step 2: Convert to fraction form
    11,788.48/16,267.92 = 6,483.12/x
  3. Step 3: Cross multiply
    11,788.48x = 16,267.92 × 6,483.12
  4. Step 4: Simplify right side
    11,788.48x = 105,466,877.51
  5. Step 5: Solve for x
    x = 105,466,877.51/11,788.48
  6. Step 6: Final answer
    x = 8,946.61

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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.