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Finding the Fourth Proportional to 10,774.86, 16,056.62 and 10,684.14

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Solution

The fourth proportional to 10,774.86, 16,056.62 and 10,684.14 is: 15,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.86 : 16,056.62 = 10,684.14 : x
  2. Step 2: Convert to fraction form
    10,774.86/16,056.62 = 10,684.14/x
  3. Step 3: Cross multiply
    10,774.86x = 16,056.62 × 10,684.14
  4. Step 4: Simplify right side
    10,774.86x = 171,551,122.59
  5. Step 5: Solve for x
    x = 171,551,122.59/10,774.86
  6. Step 6: Final answer
    x = 15,921.42

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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.