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Finding the Fourth Proportional to 7,448.52, 10,280.82 and 5,093.88

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Solution

The fourth proportional to 7,448.52, 10,280.82 and 5,093.88 is: 7,030.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.52 : 10,280.82 = 5,093.88 : x
  2. Step 2: Convert to fraction form
    7,448.52/10,280.82 = 5,093.88/x
  3. Step 3: Cross multiply
    7,448.52x = 10,280.82 × 5,093.88
  4. Step 4: Simplify right side
    7,448.52x = 52,369,263.38
  5. Step 5: Solve for x
    x = 52,369,263.38/7,448.52
  6. Step 6: Final answer
    x = 7,030.83

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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.