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Finding the Fourth Proportional to 7,262.72, 10,870.32 and 4,800.32

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Solution

The fourth proportional to 7,262.72, 10,870.32 and 4,800.32 is: 7,184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.72 : 10,870.32 = 4,800.32 : x
  2. Step 2: Convert to fraction form
    7,262.72/10,870.32 = 4,800.32/x
  3. Step 3: Cross multiply
    7,262.72x = 10,870.32 × 4,800.32
  4. Step 4: Simplify right side
    7,262.72x = 52,181,014.50
  5. Step 5: Solve for x
    x = 52,181,014.50/7,262.72
  6. Step 6: Final answer
    x = 7,184.78

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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.