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Finding the Fourth Proportional to 7,549.54, 11,325.93 and 3,164.47

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Solution

The fourth proportional to 7,549.54, 11,325.93 and 3,164.47 is: 4,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.54 : 11,325.93 = 3,164.47 : x
  2. Step 2: Convert to fraction form
    7,549.54/11,325.93 = 3,164.47/x
  3. Step 3: Cross multiply
    7,549.54x = 11,325.93 × 3,164.47
  4. Step 4: Simplify right side
    7,549.54x = 35,840,565.71
  5. Step 5: Solve for x
    x = 35,840,565.71/7,549.54
  6. Step 6: Final answer
    x = 4,747.38

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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.