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Finding the Fourth Proportional to 10,431.76, 14,384.72 and 8,529.12

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Solution

The fourth proportional to 10,431.76, 14,384.72 and 8,529.12 is: 11,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.76 : 14,384.72 = 8,529.12 : x
  2. Step 2: Convert to fraction form
    10,431.76/14,384.72 = 8,529.12/x
  3. Step 3: Cross multiply
    10,431.76x = 14,384.72 × 8,529.12
  4. Step 4: Simplify right side
    10,431.76x = 122,689,003.05
  5. Step 5: Solve for x
    x = 122,689,003.05/10,431.76
  6. Step 6: Final answer
    x = 11,761.10

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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.