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Finding the Fourth Proportional to 10,975.68, 16,467.18 and 7,292.40

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Solution

The fourth proportional to 10,975.68, 16,467.18 and 7,292.40 is: 10,941.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.68 : 16,467.18 = 7,292.40 : x
  2. Step 2: Convert to fraction form
    10,975.68/16,467.18 = 7,292.40/x
  3. Step 3: Cross multiply
    10,975.68x = 16,467.18 × 7,292.40
  4. Step 4: Simplify right side
    10,975.68x = 120,085,263.43
  5. Step 5: Solve for x
    x = 120,085,263.43/10,975.68
  6. Step 6: Final answer
    x = 10,941.03

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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.