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Finding the Fourth Proportional to 8,341.24, 11,506.86 and 5,509.72

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Solution

The fourth proportional to 8,341.24, 11,506.86 and 5,509.72 is: 7,600.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.24 : 11,506.86 = 5,509.72 : x
  2. Step 2: Convert to fraction form
    8,341.24/11,506.86 = 5,509.72/x
  3. Step 3: Cross multiply
    8,341.24x = 11,506.86 × 5,509.72
  4. Step 4: Simplify right side
    8,341.24x = 63,399,576.68
  5. Step 5: Solve for x
    x = 63,399,576.68/8,341.24
  6. Step 6: Final answer
    x = 7,600.74

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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.