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Finding the Fourth Proportional to 12,362.48, 18,549.81 and 5,787.53

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Solution

The fourth proportional to 12,362.48, 18,549.81 and 5,787.53 is: 8,684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,362.48 : 18,549.81 = 5,787.53 : x
  2. Step 2: Convert to fraction form
    12,362.48/18,549.81 = 5,787.53/x
  3. Step 3: Cross multiply
    12,362.48x = 18,549.81 × 5,787.53
  4. Step 4: Simplify right side
    12,362.48x = 107,357,489.12
  5. Step 5: Solve for x
    x = 107,357,489.12/12,362.48
  6. Step 6: Final answer
    x = 8,684.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.