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Finding the Fourth Proportional to 7,685.09, 10,605.32 and 4,328.23

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Solution

The fourth proportional to 7,685.09, 10,605.32 and 4,328.23 is: 5,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.09 : 10,605.32 = 4,328.23 : x
  2. Step 2: Convert to fraction form
    7,685.09/10,605.32 = 4,328.23/x
  3. Step 3: Cross multiply
    7,685.09x = 10,605.32 × 4,328.23
  4. Step 4: Simplify right side
    7,685.09x = 45,902,264.18
  5. Step 5: Solve for x
    x = 45,902,264.18/7,685.09
  6. Step 6: Final answer
    x = 5,972.90

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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.