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Finding the Fourth Proportional to 7,505.85, 10,358.96 and 6,244.68

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Solution

The fourth proportional to 7,505.85, 10,358.96 and 6,244.68 is: 8,618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.85 : 10,358.96 = 6,244.68 : x
  2. Step 2: Convert to fraction form
    7,505.85/10,358.96 = 6,244.68/x
  3. Step 3: Cross multiply
    7,505.85x = 10,358.96 × 6,244.68
  4. Step 4: Simplify right side
    7,505.85x = 64,688,385.01
  5. Step 5: Solve for x
    x = 64,688,385.01/7,505.85
  6. Step 6: Final answer
    x = 8,618.39

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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.