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Finding the Fourth Proportional to 10,886.64, 15,024.94 and 6,410.80

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Solution

The fourth proportional to 10,886.64, 15,024.94 and 6,410.80 is: 8,847.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.64 : 15,024.94 = 6,410.80 : x
  2. Step 2: Convert to fraction form
    10,886.64/15,024.94 = 6,410.80/x
  3. Step 3: Cross multiply
    10,886.64x = 15,024.94 × 6,410.80
  4. Step 4: Simplify right side
    10,886.64x = 96,321,885.35
  5. Step 5: Solve for x
    x = 96,321,885.35/10,886.64
  6. Step 6: Final answer
    x = 8,847.71

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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.