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Finding the Fourth Proportional to 10,705.96, 14,774.08 and 5,990.24

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Solution

The fourth proportional to 10,705.96, 14,774.08 and 5,990.24 is: 8,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.96 : 14,774.08 = 5,990.24 : x
  2. Step 2: Convert to fraction form
    10,705.96/14,774.08 = 5,990.24/x
  3. Step 3: Cross multiply
    10,705.96x = 14,774.08 × 5,990.24
  4. Step 4: Simplify right side
    10,705.96x = 88,500,284.98
  5. Step 5: Solve for x
    x = 88,500,284.98/10,705.96
  6. Step 6: Final answer
    x = 8,266.45

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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.