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Finding the Fourth Proportional to 10,366.63, 14,311.68 and 7,305.29

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Solution

The fourth proportional to 10,366.63, 14,311.68 and 7,305.29 is: 10,085.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.63 : 14,311.68 = 7,305.29 : x
  2. Step 2: Convert to fraction form
    10,366.63/14,311.68 = 7,305.29/x
  3. Step 3: Cross multiply
    10,366.63x = 14,311.68 × 7,305.29
  4. Step 4: Simplify right side
    10,366.63x = 104,550,882.97
  5. Step 5: Solve for x
    x = 104,550,882.97/10,366.63
  6. Step 6: Final answer
    x = 10,085.33

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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.