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Finding the Fourth Proportional to 7,707.29, 10,636.06 and 4,170.49

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Solution

The fourth proportional to 7,707.29, 10,636.06 and 4,170.49 is: 5,755.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.29 : 10,636.06 = 4,170.49 : x
  2. Step 2: Convert to fraction form
    7,707.29/10,636.06 = 4,170.49/x
  3. Step 3: Cross multiply
    7,707.29x = 10,636.06 × 4,170.49
  4. Step 4: Simplify right side
    7,707.29x = 44,357,581.87
  5. Step 5: Solve for x
    x = 44,357,581.87/7,707.29
  6. Step 6: Final answer
    x = 5,755.28

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