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Finding the Fourth Proportional to 10,729.92, 14,807.64 and 6,014.16

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Solution

The fourth proportional to 10,729.92, 14,807.64 and 6,014.16 is: 8,299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.92 : 14,807.64 = 6,014.16 : x
  2. Step 2: Convert to fraction form
    10,729.92/14,807.64 = 6,014.16/x
  3. Step 3: Cross multiply
    10,729.92x = 14,807.64 × 6,014.16
  4. Step 4: Simplify right side
    10,729.92x = 89,055,516.18
  5. Step 5: Solve for x
    x = 89,055,516.18/10,729.92
  6. Step 6: Final answer
    x = 8,299.74

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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.