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Finding the Fourth Proportional to 7,699.66, 10,621.07 and 5,185.24

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Solution

The fourth proportional to 7,699.66, 10,621.07 and 5,185.24 is: 7,152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.66 : 10,621.07 = 5,185.24 : x
  2. Step 2: Convert to fraction form
    7,699.66/10,621.07 = 5,185.24/x
  3. Step 3: Cross multiply
    7,699.66x = 10,621.07 × 5,185.24
  4. Step 4: Simplify right side
    7,699.66x = 55,072,823.01
  5. Step 5: Solve for x
    x = 55,072,823.01/7,699.66
  6. Step 6: Final answer
    x = 7,152.63

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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.