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Finding the Fourth Proportional to 7,497.50, 11,235.32 and 4,217.00

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Solution

The fourth proportional to 7,497.50, 11,235.32 and 4,217.00 is: 6,319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.50 : 11,235.32 = 4,217.00 : x
  2. Step 2: Convert to fraction form
    7,497.50/11,235.32 = 4,217.00/x
  3. Step 3: Cross multiply
    7,497.50x = 11,235.32 × 4,217.00
  4. Step 4: Simplify right side
    7,497.50x = 47,379,351.44
  5. Step 5: Solve for x
    x = 47,379,351.44/7,497.50
  6. Step 6: Final answer
    x = 6,319.35

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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.