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Finding the Fourth Proportional to 7,455.84, 11,187.52 and 5,278.56

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Solution

The fourth proportional to 7,455.84, 11,187.52 and 5,278.56 is: 7,920.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,455.84 : 11,187.52 = 5,278.56 : x
  2. Step 2: Convert to fraction form
    7,455.84/11,187.52 = 5,278.56/x
  3. Step 3: Cross multiply
    7,455.84x = 11,187.52 × 5,278.56
  4. Step 4: Simplify right side
    7,455.84x = 59,053,995.57
  5. Step 5: Solve for x
    x = 59,053,995.57/7,455.84
  6. Step 6: Final answer
    x = 7,920.50

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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.