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Finding the Fourth Proportional to 7,591.04, 10,472 and 4,604.96

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Solution

The fourth proportional to 7,591.04, 10,472 and 4,604.96 is: 6,352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.04 : 10,472 = 4,604.96 : x
  2. Step 2: Convert to fraction form
    7,591.04/10,472 = 4,604.96/x
  3. Step 3: Cross multiply
    7,591.04x = 10,472 × 4,604.96
  4. Step 4: Simplify right side
    7,591.04x = 48,223,141.12
  5. Step 5: Solve for x
    x = 48,223,141.12/7,591.04
  6. Step 6: Final answer
    x = 6,352.64

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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.