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Finding the Fourth Proportional to 11,774.70, 16,261.56 and 8,014.68

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Solution

The fourth proportional to 11,774.70, 16,261.56 and 8,014.68 is: 11,068.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.70 : 16,261.56 = 8,014.68 : x
  2. Step 2: Convert to fraction form
    11,774.70/16,261.56 = 8,014.68/x
  3. Step 3: Cross multiply
    11,774.70x = 16,261.56 × 8,014.68
  4. Step 4: Simplify right side
    11,774.70x = 130,331,199.70
  5. Step 5: Solve for x
    x = 130,331,199.70/11,774.70
  6. Step 6: Final answer
    x = 11,068.75

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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.