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Finding the Fourth Proportional to 7,308.67, 10,964.15 and 2,377.16

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Solution

The fourth proportional to 7,308.67, 10,964.15 and 2,377.16 is: 3,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,308.67 : 10,964.15 = 2,377.16 : x
  2. Step 2: Convert to fraction form
    7,308.67/10,964.15 = 2,377.16/x
  3. Step 3: Cross multiply
    7,308.67x = 10,964.15 × 2,377.16
  4. Step 4: Simplify right side
    7,308.67x = 26,063,483.99
  5. Step 5: Solve for x
    x = 26,063,483.99/7,308.67
  6. Step 6: Final answer
    x = 3,566.10

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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.