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Finding the Fourth Proportional to 10,528.94, 14,529.94 and 5,813.22

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Solution

The fourth proportional to 10,528.94, 14,529.94 and 5,813.22 is: 8,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,528.94 : 14,529.94 = 5,813.22 : x
  2. Step 2: Convert to fraction form
    10,528.94/14,529.94 = 5,813.22/x
  3. Step 3: Cross multiply
    10,528.94x = 14,529.94 × 5,813.22
  4. Step 4: Simplify right side
    10,528.94x = 84,465,737.81
  5. Step 5: Solve for x
    x = 84,465,737.81/10,528.94
  6. Step 6: Final answer
    x = 8,022.25

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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.