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Finding the Fourth Proportional to 6,012.04, 8,300.52 and 5,381.50

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Solution

The fourth proportional to 6,012.04, 8,300.52 and 5,381.50 is: 7,429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.04 : 8,300.52 = 5,381.50 : x
  2. Step 2: Convert to fraction form
    6,012.04/8,300.52 = 5,381.50/x
  3. Step 3: Cross multiply
    6,012.04x = 8,300.52 × 5,381.50
  4. Step 4: Simplify right side
    6,012.04x = 44,669,248.38
  5. Step 5: Solve for x
    x = 44,669,248.38/6,012.04
  6. Step 6: Final answer
    x = 7,429.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.