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Finding the Fourth Proportional to 7,585.67, 11,384.89 and 3,891.47

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Solution

The fourth proportional to 7,585.67, 11,384.89 and 3,891.47 is: 5,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.67 : 11,384.89 = 3,891.47 : x
  2. Step 2: Convert to fraction form
    7,585.67/11,384.89 = 3,891.47/x
  3. Step 3: Cross multiply
    7,585.67x = 11,384.89 × 3,891.47
  4. Step 4: Simplify right side
    7,585.67x = 44,303,891.24
  5. Step 5: Solve for x
    x = 44,303,891.24/7,585.67
  6. Step 6: Final answer
    x = 5,840.47

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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.