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Finding the Fourth Proportional to 8,485.65, 12,715.47 and 4,319.42

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Solution

The fourth proportional to 8,485.65, 12,715.47 and 4,319.42 is: 6,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485.65 : 12,715.47 = 4,319.42 : x
  2. Step 2: Convert to fraction form
    8,485.65/12,715.47 = 4,319.42/x
  3. Step 3: Cross multiply
    8,485.65x = 12,715.47 × 4,319.42
  4. Step 4: Simplify right side
    8,485.65x = 54,923,391.85
  5. Step 5: Solve for x
    x = 54,923,391.85/8,485.65
  6. Step 6: Final answer
    x = 6,472.50

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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.