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Finding the Fourth Proportional to 8,319.65, 12,476.01 and 3,385.94

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Solution

The fourth proportional to 8,319.65, 12,476.01 and 3,385.94 is: 5,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.65 : 12,476.01 = 3,385.94 : x
  2. Step 2: Convert to fraction form
    8,319.65/12,476.01 = 3,385.94/x
  3. Step 3: Cross multiply
    8,319.65x = 12,476.01 × 3,385.94
  4. Step 4: Simplify right side
    8,319.65x = 42,243,060.95
  5. Step 5: Solve for x
    x = 42,243,060.95/8,319.65
  6. Step 6: Final answer
    x = 5,077.50

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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.