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Finding the Fourth Proportional to 7,038.27, 10,553.16 and 4,844.61

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Solution

The fourth proportional to 7,038.27, 10,553.16 and 4,844.61 is: 7,263.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.27 : 10,553.16 = 4,844.61 : x
  2. Step 2: Convert to fraction form
    7,038.27/10,553.16 = 4,844.61/x
  3. Step 3: Cross multiply
    7,038.27x = 10,553.16 × 4,844.61
  4. Step 4: Simplify right side
    7,038.27x = 51,125,944.47
  5. Step 5: Solve for x
    x = 51,125,944.47/7,038.27
  6. Step 6: Final answer
    x = 7,263.99

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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.