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Finding the Fourth Proportional to 12,049.16, 18,062.64 and 5,382.16

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Solution

The fourth proportional to 12,049.16, 18,062.64 and 5,382.16 is: 8,068.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.16 : 18,062.64 = 5,382.16 : x
  2. Step 2: Convert to fraction form
    12,049.16/18,062.64 = 5,382.16/x
  3. Step 3: Cross multiply
    12,049.16x = 18,062.64 × 5,382.16
  4. Step 4: Simplify right side
    12,049.16x = 97,216,018.50
  5. Step 5: Solve for x
    x = 97,216,018.50/12,049.16
  6. Step 6: Final answer
    x = 8,068.28

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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.