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Finding the Fourth Proportional to 7,055.88, 10,589.14 and 4,829.38

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Solution

The fourth proportional to 7,055.88, 10,589.14 and 4,829.38 is: 7,247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.88 : 10,589.14 = 4,829.38 : x
  2. Step 2: Convert to fraction form
    7,055.88/10,589.14 = 4,829.38/x
  3. Step 3: Cross multiply
    7,055.88x = 10,589.14 × 4,829.38
  4. Step 4: Simplify right side
    7,055.88x = 51,138,980.93
  5. Step 5: Solve for x
    x = 51,138,980.93/7,055.88
  6. Step 6: Final answer
    x = 7,247.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.