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Finding the Fourth Proportional to 7,026.30, 9,676.67 and 5,836.52

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Solution

The fourth proportional to 7,026.30, 9,676.67 and 5,836.52 is: 8,038.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.30 : 9,676.67 = 5,836.52 : x
  2. Step 2: Convert to fraction form
    7,026.30/9,676.67 = 5,836.52/x
  3. Step 3: Cross multiply
    7,026.30x = 9,676.67 × 5,836.52
  4. Step 4: Simplify right side
    7,026.30x = 56,478,000.42
  5. Step 5: Solve for x
    x = 56,478,000.42/7,026.30
  6. Step 6: Final answer
    x = 8,038.09

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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.