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Finding the Fourth Proportional to 10,310.56, 14,228.64 and 5,834.48

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Solution

The fourth proportional to 10,310.56, 14,228.64 and 5,834.48 is: 8,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.56 : 14,228.64 = 5,834.48 : x
  2. Step 2: Convert to fraction form
    10,310.56/14,228.64 = 5,834.48/x
  3. Step 3: Cross multiply
    10,310.56x = 14,228.64 × 5,834.48
  4. Step 4: Simplify right side
    10,310.56x = 83,016,715.51
  5. Step 5: Solve for x
    x = 83,016,715.51/10,310.56
  6. Step 6: Final answer
    x = 8,051.62

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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.