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Finding the Fourth Proportional to 7,047.28, 10,563.28 and 4,583.86

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Solution

The fourth proportional to 7,047.28, 10,563.28 and 4,583.86 is: 6,870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.28 : 10,563.28 = 4,583.86 : x
  2. Step 2: Convert to fraction form
    7,047.28/10,563.28 = 4,583.86/x
  3. Step 3: Cross multiply
    7,047.28x = 10,563.28 × 4,583.86
  4. Step 4: Simplify right side
    7,047.28x = 48,420,596.66
  5. Step 5: Solve for x
    x = 48,420,596.66/7,047.28
  6. Step 6: Final answer
    x = 6,870.82

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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.