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Finding the Fourth Proportional to 11,886.48, 16,410.60 and 7,911

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Solution

The fourth proportional to 11,886.48, 16,410.60 and 7,911 is: 10,922.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.48 : 16,410.60 = 7,911 : x
  2. Step 2: Convert to fraction form
    11,886.48/16,410.60 = 7,911/x
  3. Step 3: Cross multiply
    11,886.48x = 16,410.60 × 7,911
  4. Step 4: Simplify right side
    11,886.48x = 129,824,256.60
  5. Step 5: Solve for x
    x = 129,824,256.60/11,886.48
  6. Step 6: Final answer
    x = 10,922.01

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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.