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Finding the Fourth Proportional to 8,442.84, 12,577.58 and 8,063.76

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Solution

The fourth proportional to 8,442.84, 12,577.58 and 8,063.76 is: 12,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.84 : 12,577.58 = 8,063.76 : x
  2. Step 2: Convert to fraction form
    8,442.84/12,577.58 = 8,063.76/x
  3. Step 3: Cross multiply
    8,442.84x = 12,577.58 × 8,063.76
  4. Step 4: Simplify right side
    8,442.84x = 101,422,586.50
  5. Step 5: Solve for x
    x = 101,422,586.50/8,442.84
  6. Step 6: Final answer
    x = 12,012.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.