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Finding the Fourth Proportional to 11,442.48, 17,151 and 4,874.16

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Solution

The fourth proportional to 11,442.48, 17,151 and 4,874.16 is: 7,305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.48 : 17,151 = 4,874.16 : x
  2. Step 2: Convert to fraction form
    11,442.48/17,151 = 4,874.16/x
  3. Step 3: Cross multiply
    11,442.48x = 17,151 × 4,874.16
  4. Step 4: Simplify right side
    11,442.48x = 83,596,718.16
  5. Step 5: Solve for x
    x = 83,596,718.16/11,442.48
  6. Step 6: Final answer
    x = 7,305.82

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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.