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Finding the Fourth Proportional to 11,057.65, 15,258.44 and 6,808.04

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Solution

The fourth proportional to 11,057.65, 15,258.44 and 6,808.04 is: 9,394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.65 : 15,258.44 = 6,808.04 : x
  2. Step 2: Convert to fraction form
    11,057.65/15,258.44 = 6,808.04/x
  3. Step 3: Cross multiply
    11,057.65x = 15,258.44 × 6,808.04
  4. Step 4: Simplify right side
    11,057.65x = 103,880,069.86
  5. Step 5: Solve for x
    x = 103,880,069.86/11,057.65
  6. Step 6: Final answer
    x = 9,394.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.