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Finding the Fourth Proportional to 10,408.64, 14,358.96 and 6,428.32

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Solution

The fourth proportional to 10,408.64, 14,358.96 and 6,428.32 is: 8,868.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.64 : 14,358.96 = 6,428.32 : x
  2. Step 2: Convert to fraction form
    10,408.64/14,358.96 = 6,428.32/x
  3. Step 3: Cross multiply
    10,408.64x = 14,358.96 × 6,428.32
  4. Step 4: Simplify right side
    10,408.64x = 92,303,989.75
  5. Step 5: Solve for x
    x = 92,303,989.75/10,408.64
  6. Step 6: Final answer
    x = 8,868.02

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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.