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Finding the Fourth Proportional to 7,590, 10,474.08 and 6,108.24

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Solution

The fourth proportional to 7,590, 10,474.08 and 6,108.24 is: 8,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,590 : 10,474.08 = 6,108.24 : x
  2. Step 2: Convert to fraction form
    7,590/10,474.08 = 6,108.24/x
  3. Step 3: Cross multiply
    7,590x = 10,474.08 × 6,108.24
  4. Step 4: Simplify right side
    7,590x = 63,978,194.42
  5. Step 5: Solve for x
    x = 63,978,194.42/7,590
  6. Step 6: Final answer
    x = 8,429.27

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