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Finding the Fourth Proportional to 7,259.92, 10,018.54 and 4,116.04

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Solution

The fourth proportional to 7,259.92, 10,018.54 and 4,116.04 is: 5,680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.92 : 10,018.54 = 4,116.04 : x
  2. Step 2: Convert to fraction form
    7,259.92/10,018.54 = 4,116.04/x
  3. Step 3: Cross multiply
    7,259.92x = 10,018.54 × 4,116.04
  4. Step 4: Simplify right side
    7,259.92x = 41,236,711.38
  5. Step 5: Solve for x
    x = 41,236,711.38/7,259.92
  6. Step 6: Final answer
    x = 5,680.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.