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Finding the Fourth Proportional to 8,076.58, 11,145.64 and 4,539.82

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Solution

The fourth proportional to 8,076.58, 11,145.64 and 4,539.82 is: 6,264.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.58 : 11,145.64 = 4,539.82 : x
  2. Step 2: Convert to fraction form
    8,076.58/11,145.64 = 4,539.82/x
  3. Step 3: Cross multiply
    8,076.58x = 11,145.64 × 4,539.82
  4. Step 4: Simplify right side
    8,076.58x = 50,599,199.38
  5. Step 5: Solve for x
    x = 50,599,199.38/8,076.58
  6. Step 6: Final answer
    x = 6,264.93

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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.