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Finding the Fourth Proportional to 7,303.69, 10,965.25 and 4,939.71

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Solution

The fourth proportional to 7,303.69, 10,965.25 and 4,939.71 is: 7,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303.69 : 10,965.25 = 4,939.71 : x
  2. Step 2: Convert to fraction form
    7,303.69/10,965.25 = 4,939.71/x
  3. Step 3: Cross multiply
    7,303.69x = 10,965.25 × 4,939.71
  4. Step 4: Simplify right side
    7,303.69x = 54,165,120.13
  5. Step 5: Solve for x
    x = 54,165,120.13/7,303.69
  6. Step 6: Final answer
    x = 7,416.14

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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.