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Finding the Fourth Proportional to 6,051.42, 9,083.49 and 5,362.50

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Solution

The fourth proportional to 6,051.42, 9,083.49 and 5,362.50 is: 8,049.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.42 : 9,083.49 = 5,362.50 : x
  2. Step 2: Convert to fraction form
    6,051.42/9,083.49 = 5,362.50/x
  3. Step 3: Cross multiply
    6,051.42x = 9,083.49 × 5,362.50
  4. Step 4: Simplify right side
    6,051.42x = 48,710,215.13
  5. Step 5: Solve for x
    x = 48,710,215.13/6,051.42
  6. Step 6: Final answer
    x = 8,049.39

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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.