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Finding the Fourth Proportional to 11,389.44, 15,717 and 6,353.88

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Solution

The fourth proportional to 11,389.44, 15,717 and 6,353.88 is: 8,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,389.44 : 15,717 = 6,353.88 : x
  2. Step 2: Convert to fraction form
    11,389.44/15,717 = 6,353.88/x
  3. Step 3: Cross multiply
    11,389.44x = 15,717 × 6,353.88
  4. Step 4: Simplify right side
    11,389.44x = 99,863,931.96
  5. Step 5: Solve for x
    x = 99,863,931.96/11,389.44
  6. Step 6: Final answer
    x = 8,768.12

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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.