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Finding the Fourth Proportional to 10,774.13, 14,870.12 and 6,236.15

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Solution

The fourth proportional to 10,774.13, 14,870.12 and 6,236.15 is: 8,606.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.13 : 14,870.12 = 6,236.15 : x
  2. Step 2: Convert to fraction form
    10,774.13/14,870.12 = 6,236.15/x
  3. Step 3: Cross multiply
    10,774.13x = 14,870.12 × 6,236.15
  4. Step 4: Simplify right side
    10,774.13x = 92,732,272.46
  5. Step 5: Solve for x
    x = 92,732,272.46/10,774.13
  6. Step 6: Final answer
    x = 8,606.94

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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.