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Finding the Fourth Proportional to 11,359.66, 15,676.76 and 6,880.86

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Solution

The fourth proportional to 11,359.66, 15,676.76 and 6,880.86 is: 9,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,359.66 : 15,676.76 = 6,880.86 : x
  2. Step 2: Convert to fraction form
    11,359.66/15,676.76 = 6,880.86/x
  3. Step 3: Cross multiply
    11,359.66x = 15,676.76 × 6,880.86
  4. Step 4: Simplify right side
    11,359.66x = 107,869,590.81
  5. Step 5: Solve for x
    x = 107,869,590.81/11,359.66
  6. Step 6: Final answer
    x = 9,495.85

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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.