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Finding the Fourth Proportional to 10,460.94, 15,677.16 and 5,773.96

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Solution

The fourth proportional to 10,460.94, 15,677.16 and 5,773.96 is: 8,653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.94 : 15,677.16 = 5,773.96 : x
  2. Step 2: Convert to fraction form
    10,460.94/15,677.16 = 5,773.96/x
  3. Step 3: Cross multiply
    10,460.94x = 15,677.16 × 5,773.96
  4. Step 4: Simplify right side
    10,460.94x = 90,519,294.75
  5. Step 5: Solve for x
    x = 90,519,294.75/10,460.94
  6. Step 6: Final answer
    x = 8,653.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.