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Finding the Fourth Proportional to 7,262.58, 10,023.75 and 4,280.97

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Solution

The fourth proportional to 7,262.58, 10,023.75 and 4,280.97 is: 5,908.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.58 : 10,023.75 = 4,280.97 : x
  2. Step 2: Convert to fraction form
    7,262.58/10,023.75 = 4,280.97/x
  3. Step 3: Cross multiply
    7,262.58x = 10,023.75 × 4,280.97
  4. Step 4: Simplify right side
    7,262.58x = 42,911,373.04
  5. Step 5: Solve for x
    x = 42,911,373.04/7,262.58
  6. Step 6: Final answer
    x = 5,908.56

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