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Finding the Fourth Proportional to 7,329.65, 10,114.32 and 4,143.22

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Solution

The fourth proportional to 7,329.65, 10,114.32 and 4,143.22 is: 5,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,329.65 : 10,114.32 = 4,143.22 : x
  2. Step 2: Convert to fraction form
    7,329.65/10,114.32 = 4,143.22/x
  3. Step 3: Cross multiply
    7,329.65x = 10,114.32 × 4,143.22
  4. Step 4: Simplify right side
    7,329.65x = 41,905,832.19
  5. Step 5: Solve for x
    x = 41,905,832.19/7,329.65
  6. Step 6: Final answer
    x = 5,717.30

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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.