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Finding the Fourth Proportional to 10,424.15, 14,384.00 and 8,305.05

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Solution

The fourth proportional to 10,424.15, 14,384.00 and 8,305.05 is: 11,459.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.15 : 14,384.00 = 8,305.05 : x
  2. Step 2: Convert to fraction form
    10,424.15/14,384.00 = 8,305.05/x
  3. Step 3: Cross multiply
    10,424.15x = 14,384.00 × 8,305.05
  4. Step 4: Simplify right side
    10,424.15x = 119,459,859.96
  5. Step 5: Solve for x
    x = 119,459,859.96/10,424.15
  6. Step 6: Final answer
    x = 11,459.92

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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.