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Finding the Fourth Proportional to 7,134.42, 10,698.54 and 5,492.13

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Solution

The fourth proportional to 7,134.42, 10,698.54 and 5,492.13 is: 8,235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.42 : 10,698.54 = 5,492.13 : x
  2. Step 2: Convert to fraction form
    7,134.42/10,698.54 = 5,492.13/x
  3. Step 3: Cross multiply
    7,134.42x = 10,698.54 × 5,492.13
  4. Step 4: Simplify right side
    7,134.42x = 58,757,772.49
  5. Step 5: Solve for x
    x = 58,757,772.49/7,134.42
  6. Step 6: Final answer
    x = 8,235.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.