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Finding the Fourth Proportional to 11,854.96, 16,360 and 6,819.28

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Solution

The fourth proportional to 11,854.96, 16,360 and 6,819.28 is: 9,410.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.96 : 16,360 = 6,819.28 : x
  2. Step 2: Convert to fraction form
    11,854.96/16,360 = 6,819.28/x
  3. Step 3: Cross multiply
    11,854.96x = 16,360 × 6,819.28
  4. Step 4: Simplify right side
    11,854.96x = 111,563,420.80
  5. Step 5: Solve for x
    x = 111,563,420.80/11,854.96
  6. Step 6: Final answer
    x = 9,410.70

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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.