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Finding the Fourth Proportional to 7,704.98, 11,535.99 and 4,924.79

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Solution

The fourth proportional to 7,704.98, 11,535.99 and 4,924.79 is: 7,373.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.98 : 11,535.99 = 4,924.79 : x
  2. Step 2: Convert to fraction form
    7,704.98/11,535.99 = 4,924.79/x
  3. Step 3: Cross multiply
    7,704.98x = 11,535.99 × 4,924.79
  4. Step 4: Simplify right side
    7,704.98x = 56,812,328.19
  5. Step 5: Solve for x
    x = 56,812,328.19/7,704.98
  6. Step 6: Final answer
    x = 7,373.46

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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.