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Finding the Fourth Proportional to 8,459.16, 11,676.87 and 7,573.38

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Solution

The fourth proportional to 8,459.16, 11,676.87 and 7,573.38 is: 10,454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.16 : 11,676.87 = 7,573.38 : x
  2. Step 2: Convert to fraction form
    8,459.16/11,676.87 = 7,573.38/x
  3. Step 3: Cross multiply
    8,459.16x = 11,676.87 × 7,573.38
  4. Step 4: Simplify right side
    8,459.16x = 88,433,373.72
  5. Step 5: Solve for x
    x = 88,433,373.72/8,459.16
  6. Step 6: Final answer
    x = 10,454.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.