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Finding the Fourth Proportional to 8,921.68, 12,312.34 and 5,384.81

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Solution

The fourth proportional to 8,921.68, 12,312.34 and 5,384.81 is: 7,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,921.68 : 12,312.34 = 5,384.81 : x
  2. Step 2: Convert to fraction form
    8,921.68/12,312.34 = 5,384.81/x
  3. Step 3: Cross multiply
    8,921.68x = 12,312.34 × 5,384.81
  4. Step 4: Simplify right side
    8,921.68x = 66,299,628.87
  5. Step 5: Solve for x
    x = 66,299,628.87/8,921.68
  6. Step 6: Final answer
    x = 7,431.30

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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.