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Finding the Fourth Proportional to 7,585.92, 11,386.98 and 4,305.42

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Solution

The fourth proportional to 7,585.92, 11,386.98 and 4,305.42 is: 6,462.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.92 : 11,386.98 = 4,305.42 : x
  2. Step 2: Convert to fraction form
    7,585.92/11,386.98 = 4,305.42/x
  3. Step 3: Cross multiply
    7,585.92x = 11,386.98 × 4,305.42
  4. Step 4: Simplify right side
    7,585.92x = 49,025,731.43
  5. Step 5: Solve for x
    x = 49,025,731.43/7,585.92
  6. Step 6: Final answer
    x = 6,462.73

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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.