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Finding the Fourth Proportional to 10,976.68, 16,468.68 and 7,293.40

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Solution

The fourth proportional to 10,976.68, 16,468.68 and 7,293.40 is: 10,942.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976.68 : 16,468.68 = 7,293.40 : x
  2. Step 2: Convert to fraction form
    10,976.68/16,468.68 = 7,293.40/x
  3. Step 3: Cross multiply
    10,976.68x = 16,468.68 × 7,293.40
  4. Step 4: Simplify right side
    10,976.68x = 120,112,670.71
  5. Step 5: Solve for x
    x = 120,112,670.71/10,976.68
  6. Step 6: Final answer
    x = 10,942.53

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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.