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Finding the Fourth Proportional to 7,585.91, 10,468.57 and 4,399.82

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Solution

The fourth proportional to 7,585.91, 10,468.57 and 4,399.82 is: 6,071.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.91 : 10,468.57 = 4,399.82 : x
  2. Step 2: Convert to fraction form
    7,585.91/10,468.57 = 4,399.82/x
  3. Step 3: Cross multiply
    7,585.91x = 10,468.57 × 4,399.82
  4. Step 4: Simplify right side
    7,585.91x = 46,059,771.31
  5. Step 5: Solve for x
    x = 46,059,771.31/7,585.91
  6. Step 6: Final answer
    x = 6,071.76

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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.