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Finding the Fourth Proportional to 10,288.76, 14,185.23 and 8,398.40

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Solution

The fourth proportional to 10,288.76, 14,185.23 and 8,398.40 is: 11,578.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.76 : 14,185.23 = 8,398.40 : x
  2. Step 2: Convert to fraction form
    10,288.76/14,185.23 = 8,398.40/x
  3. Step 3: Cross multiply
    10,288.76x = 14,185.23 × 8,398.40
  4. Step 4: Simplify right side
    10,288.76x = 119,133,235.63
  5. Step 5: Solve for x
    x = 119,133,235.63/10,288.76
  6. Step 6: Final answer
    x = 11,578.97

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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.