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Finding the Fourth Proportional to 10,195.08, 14,050.16 and 7,953.40

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Solution

The fourth proportional to 10,195.08, 14,050.16 and 7,953.40 is: 10,960.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.08 : 14,050.16 = 7,953.40 : x
  2. Step 2: Convert to fraction form
    10,195.08/14,050.16 = 7,953.40/x
  3. Step 3: Cross multiply
    10,195.08x = 14,050.16 × 7,953.40
  4. Step 4: Simplify right side
    10,195.08x = 111,746,542.54
  5. Step 5: Solve for x
    x = 111,746,542.54/10,195.08
  6. Step 6: Final answer
    x = 10,960.83

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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.