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Finding the Fourth Proportional to 7,073.16, 10,676.21 and 7,073.16

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Solution

The fourth proportional to 7,073.16, 10,676.21 and 7,073.16 is: 10,676.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.16 : 10,676.21 = 7,073.16 : x
  2. Step 2: Convert to fraction form
    7,073.16/10,676.21 = 7,073.16/x
  3. Step 3: Cross multiply
    7,073.16x = 10,676.21 × 7,073.16
  4. Step 4: Simplify right side
    7,073.16x = 75,514,541.52
  5. Step 5: Solve for x
    x = 75,514,541.52/7,073.16
  6. Step 6: Final answer
    x = 10,676.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.