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Finding the Fourth Proportional to 11,376.64, 15,700.48 and 6,408.96

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Solution

The fourth proportional to 11,376.64, 15,700.48 and 6,408.96 is: 8,844.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.64 : 15,700.48 = 6,408.96 : x
  2. Step 2: Convert to fraction form
    11,376.64/15,700.48 = 6,408.96/x
  3. Step 3: Cross multiply
    11,376.64x = 15,700.48 × 6,408.96
  4. Step 4: Simplify right side
    11,376.64x = 100,623,748.30
  5. Step 5: Solve for x
    x = 100,623,748.30/11,376.64
  6. Step 6: Final answer
    x = 8,844.77

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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.