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Finding the Fourth Proportional to 7,820.52, 11,712.48 and 6,789

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Solution

The fourth proportional to 7,820.52, 11,712.48 and 6,789 is: 10,167.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.52 : 11,712.48 = 6,789 : x
  2. Step 2: Convert to fraction form
    7,820.52/11,712.48 = 6,789/x
  3. Step 3: Cross multiply
    7,820.52x = 11,712.48 × 6,789
  4. Step 4: Simplify right side
    7,820.52x = 79,516,026.72
  5. Step 5: Solve for x
    x = 79,516,026.72/7,820.52
  6. Step 6: Final answer
    x = 10,167.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.