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Finding the Fourth Proportional to 10,529.19, 14,530.19 and 5,813.17

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Solution

The fourth proportional to 10,529.19, 14,530.19 and 5,813.17 is: 8,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529.19 : 14,530.19 = 5,813.17 : x
  2. Step 2: Convert to fraction form
    10,529.19/14,530.19 = 5,813.17/x
  3. Step 3: Cross multiply
    10,529.19x = 14,530.19 × 5,813.17
  4. Step 4: Simplify right side
    10,529.19x = 84,466,399.21
  5. Step 5: Solve for x
    x = 84,466,399.21/10,529.19
  6. Step 6: Final answer
    x = 8,022.12

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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.