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Finding the Fourth Proportional to 11,408.32, 15,742.72 and 6,440

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Solution

The fourth proportional to 11,408.32, 15,742.72 and 6,440 is: 8,886.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.32 : 15,742.72 = 6,440 : x
  2. Step 2: Convert to fraction form
    11,408.32/15,742.72 = 6,440/x
  3. Step 3: Cross multiply
    11,408.32x = 15,742.72 × 6,440
  4. Step 4: Simplify right side
    11,408.32x = 101,383,116.80
  5. Step 5: Solve for x
    x = 101,383,116.80/11,408.32
  6. Step 6: Final answer
    x = 8,886.77

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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.