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Finding the Fourth Proportional to 7,583.91, 10,465.47 and 4,227.09

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Solution

The fourth proportional to 7,583.91, 10,465.47 and 4,227.09 is: 5,833.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.91 : 10,465.47 = 4,227.09 : x
  2. Step 2: Convert to fraction form
    7,583.91/10,465.47 = 4,227.09/x
  3. Step 3: Cross multiply
    7,583.91x = 10,465.47 × 4,227.09
  4. Step 4: Simplify right side
    7,583.91x = 44,238,483.58
  5. Step 5: Solve for x
    x = 44,238,483.58/7,583.91
  6. Step 6: Final answer
    x = 5,833.20

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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.