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Finding the Fourth Proportional to 7,735.13, 10,674.32 and 4,377.88

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Solution

The fourth proportional to 7,735.13, 10,674.32 and 4,377.88 is: 6,041.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.13 : 10,674.32 = 4,377.88 : x
  2. Step 2: Convert to fraction form
    7,735.13/10,674.32 = 4,377.88/x
  3. Step 3: Cross multiply
    7,735.13x = 10,674.32 × 4,377.88
  4. Step 4: Simplify right side
    7,735.13x = 46,730,892.04
  5. Step 5: Solve for x
    x = 46,730,892.04/7,735.13
  6. Step 6: Final answer
    x = 6,041.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.