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Finding the Fourth Proportional to 7,264.78, 10,023.83 and 4,750.58

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Solution

The fourth proportional to 7,264.78, 10,023.83 and 4,750.58 is: 6,554.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.78 : 10,023.83 = 4,750.58 : x
  2. Step 2: Convert to fraction form
    7,264.78/10,023.83 = 4,750.58/x
  3. Step 3: Cross multiply
    7,264.78x = 10,023.83 × 4,750.58
  4. Step 4: Simplify right side
    7,264.78x = 47,619,052.16
  5. Step 5: Solve for x
    x = 47,619,052.16/7,264.78
  6. Step 6: Final answer
    x = 6,554.78

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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.