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Finding the Fourth Proportional to 10,774.41, 14,868.87 and 5,994.74

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Solution

The fourth proportional to 10,774.41, 14,868.87 and 5,994.74 is: 8,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.41 : 14,868.87 = 5,994.74 : x
  2. Step 2: Convert to fraction form
    10,774.41/14,868.87 = 5,994.74/x
  3. Step 3: Cross multiply
    10,774.41x = 14,868.87 × 5,994.74
  4. Step 4: Simplify right side
    10,774.41x = 89,134,935.40
  5. Step 5: Solve for x
    x = 89,134,935.40/10,774.41
  6. Step 6: Final answer
    x = 8,272.84

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