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Finding the Fourth Proportional to 7,107.34, 10,661.01 and 2,176.93

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Solution

The fourth proportional to 7,107.34, 10,661.01 and 2,176.93 is: 3,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.34 : 10,661.01 = 2,176.93 : x
  2. Step 2: Convert to fraction form
    7,107.34/10,661.01 = 2,176.93/x
  3. Step 3: Cross multiply
    7,107.34x = 10,661.01 × 2,176.93
  4. Step 4: Simplify right side
    7,107.34x = 23,208,272.50
  5. Step 5: Solve for x
    x = 23,208,272.50/7,107.34
  6. Step 6: Final answer
    x = 3,265.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.