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Finding the Fourth Proportional to 11,902.96, 16,427.04 and 6,598.24

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Solution

The fourth proportional to 11,902.96, 16,427.04 and 6,598.24 is: 9,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.96 : 16,427.04 = 6,598.24 : x
  2. Step 2: Convert to fraction form
    11,902.96/16,427.04 = 6,598.24/x
  3. Step 3: Cross multiply
    11,902.96x = 16,427.04 × 6,598.24
  4. Step 4: Simplify right side
    11,902.96x = 108,389,552.41
  5. Step 5: Solve for x
    x = 108,389,552.41/11,902.96
  6. Step 6: Final answer
    x = 9,106.10

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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.