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Finding the Fourth Proportional to 11,788.68, 16,267.32 and 6,483.72

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Solution

The fourth proportional to 11,788.68, 16,267.32 and 6,483.72 is: 8,946.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.68 : 16,267.32 = 6,483.72 : x
  2. Step 2: Convert to fraction form
    11,788.68/16,267.32 = 6,483.72/x
  3. Step 3: Cross multiply
    11,788.68x = 16,267.32 × 6,483.72
  4. Step 4: Simplify right side
    11,788.68x = 105,472,748.03
  5. Step 5: Solve for x
    x = 105,472,748.03/11,788.68
  6. Step 6: Final answer
    x = 8,946.95

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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.