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Finding the Fourth Proportional to 10,998.60, 16,497.90 and 6,851.40

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Solution

The fourth proportional to 10,998.60, 16,497.90 and 6,851.40 is: 10,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.60 : 16,497.90 = 6,851.40 : x
  2. Step 2: Convert to fraction form
    10,998.60/16,497.90 = 6,851.40/x
  3. Step 3: Cross multiply
    10,998.60x = 16,497.90 × 6,851.40
  4. Step 4: Simplify right side
    10,998.60x = 113,033,712.06
  5. Step 5: Solve for x
    x = 113,033,712.06/10,998.60
  6. Step 6: Final answer
    x = 10,277.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.