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Finding the Fourth Proportional to 10,931.64, 16,409.62 and 5,665.24

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Solution

The fourth proportional to 10,931.64, 16,409.62 and 5,665.24 is: 8,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.64 : 16,409.62 = 5,665.24 : x
  2. Step 2: Convert to fraction form
    10,931.64/16,409.62 = 5,665.24/x
  3. Step 3: Cross multiply
    10,931.64x = 16,409.62 × 5,665.24
  4. Step 4: Simplify right side
    10,931.64x = 92,964,435.61
  5. Step 5: Solve for x
    x = 92,964,435.61/10,931.64
  6. Step 6: Final answer
    x = 8,504.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.