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Finding the Fourth Proportional to 7,707.27, 10,636.02 and 4,170.50

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Solution

The fourth proportional to 7,707.27, 10,636.02 and 4,170.50 is: 5,755.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.27 : 10,636.02 = 4,170.50 : x
  2. Step 2: Convert to fraction form
    7,707.27/10,636.02 = 4,170.50/x
  3. Step 3: Cross multiply
    7,707.27x = 10,636.02 × 4,170.50
  4. Step 4: Simplify right side
    7,707.27x = 44,357,468.23
  5. Step 5: Solve for x
    x = 44,357,468.23/7,707.27
  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.