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Finding the Fourth Proportional to 10,288.57, 14,183.68 and 7,303.31

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Solution

The fourth proportional to 10,288.57, 14,183.68 and 7,303.31 is: 10,068.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.57 : 14,183.68 = 7,303.31 : x
  2. Step 2: Convert to fraction form
    10,288.57/14,183.68 = 7,303.31/x
  3. Step 3: Cross multiply
    10,288.57x = 14,183.68 × 7,303.31
  4. Step 4: Simplify right side
    10,288.57x = 103,587,890.01
  5. Step 5: Solve for x
    x = 103,587,890.01/10,288.57
  6. Step 6: Final answer
    x = 10,068.25

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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.