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Finding the Fourth Proportional to 8,389.75, 12,586.67 and 4,174.98

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Solution

The fourth proportional to 8,389.75, 12,586.67 and 4,174.98 is: 6,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.75 : 12,586.67 = 4,174.98 : x
  2. Step 2: Convert to fraction form
    8,389.75/12,586.67 = 4,174.98/x
  3. Step 3: Cross multiply
    8,389.75x = 12,586.67 × 4,174.98
  4. Step 4: Simplify right side
    8,389.75x = 52,549,011.71
  5. Step 5: Solve for x
    x = 52,549,011.71/8,389.75
  6. Step 6: Final answer
    x = 6,263.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.