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Finding the Fourth Proportional to 8,376.80, 12,564.59 and 3,379.50

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Solution

The fourth proportional to 8,376.80, 12,564.59 and 3,379.50 is: 5,069.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376.80 : 12,564.59 = 3,379.50 : x
  2. Step 2: Convert to fraction form
    8,376.80/12,564.59 = 3,379.50/x
  3. Step 3: Cross multiply
    8,376.80x = 12,564.59 × 3,379.50
  4. Step 4: Simplify right side
    8,376.80x = 42,462,031.91
  5. Step 5: Solve for x
    x = 42,462,031.91/8,376.80
  6. Step 6: Final answer
    x = 5,069.00

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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.