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Finding the Fourth Proportional to 11,688.56, 16,130.16 and 6,383.40

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Solution

The fourth proportional to 11,688.56, 16,130.16 and 6,383.40 is: 8,809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.56 : 16,130.16 = 6,383.40 : x
  2. Step 2: Convert to fraction form
    11,688.56/16,130.16 = 6,383.40/x
  3. Step 3: Cross multiply
    11,688.56x = 16,130.16 × 6,383.40
  4. Step 4: Simplify right side
    11,688.56x = 102,965,263.34
  5. Step 5: Solve for x
    x = 102,965,263.34/11,688.56
  6. Step 6: Final answer
    x = 8,809.06

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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.