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Finding the Fourth Proportional to 10,920.51, 15,069.83 and 6,678.64

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Solution

The fourth proportional to 10,920.51, 15,069.83 and 6,678.64 is: 9,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.51 : 15,069.83 = 6,678.64 : x
  2. Step 2: Convert to fraction form
    10,920.51/15,069.83 = 6,678.64/x
  3. Step 3: Cross multiply
    10,920.51x = 15,069.83 × 6,678.64
  4. Step 4: Simplify right side
    10,920.51x = 100,645,954.88
  5. Step 5: Solve for x
    x = 100,645,954.88/10,920.51
  6. Step 6: Final answer
    x = 9,216.23

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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.