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Finding the Fourth Proportional to 12,310.08, 16,989.86 and 7,829.16

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Solution

The fourth proportional to 12,310.08, 16,989.86 and 7,829.16 is: 10,805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.08 : 16,989.86 = 7,829.16 : x
  2. Step 2: Convert to fraction form
    12,310.08/16,989.86 = 7,829.16/x
  3. Step 3: Cross multiply
    12,310.08x = 16,989.86 × 7,829.16
  4. Step 4: Simplify right side
    12,310.08x = 133,016,332.32
  5. Step 5: Solve for x
    x = 133,016,332.32/12,310.08
  6. Step 6: Final answer
    x = 10,805.48

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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.