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Finding the Fourth Proportional to 11,595.76, 16,004.16 and 6,880.34

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Solution

The fourth proportional to 11,595.76, 16,004.16 and 6,880.34 is: 9,496.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.76 : 16,004.16 = 6,880.34 : x
  2. Step 2: Convert to fraction form
    11,595.76/16,004.16 = 6,880.34/x
  3. Step 3: Cross multiply
    11,595.76x = 16,004.16 × 6,880.34
  4. Step 4: Simplify right side
    11,595.76x = 110,114,062.21
  5. Step 5: Solve for x
    x = 110,114,062.21/11,595.76
  6. Step 6: Final answer
    x = 9,496.06

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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.