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Finding the Fourth Proportional to 7,207.16, 10,739.10 and 6,421.13

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Solution

The fourth proportional to 7,207.16, 10,739.10 and 6,421.13 is: 9,567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.16 : 10,739.10 = 6,421.13 : x
  2. Step 2: Convert to fraction form
    7,207.16/10,739.10 = 6,421.13/x
  3. Step 3: Cross multiply
    7,207.16x = 10,739.10 × 6,421.13
  4. Step 4: Simplify right side
    7,207.16x = 68,957,103.49
  5. Step 5: Solve for x
    x = 68,957,103.49/7,207.16
  6. Step 6: Final answer
    x = 9,567.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.