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Finding the Fourth Proportional to 8,324.25, 11,487.47 and 4,598.25

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Solution

The fourth proportional to 8,324.25, 11,487.47 and 4,598.25 is: 6,345.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.25 : 11,487.47 = 4,598.25 : x
  2. Step 2: Convert to fraction form
    8,324.25/11,487.47 = 4,598.25/x
  3. Step 3: Cross multiply
    8,324.25x = 11,487.47 × 4,598.25
  4. Step 4: Simplify right side
    8,324.25x = 52,822,235.94
  5. Step 5: Solve for x
    x = 52,822,235.94/8,324.25
  6. Step 6: Final answer
    x = 6,345.59

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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.