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Finding the Fourth Proportional to 7,358.16, 11,029.86 and 2,674.20

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Solution

The fourth proportional to 7,358.16, 11,029.86 and 2,674.20 is: 4,008.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,358.16 : 11,029.86 = 2,674.20 : x
  2. Step 2: Convert to fraction form
    7,358.16/11,029.86 = 2,674.20/x
  3. Step 3: Cross multiply
    7,358.16x = 11,029.86 × 2,674.20
  4. Step 4: Simplify right side
    7,358.16x = 29,496,051.61
  5. Step 5: Solve for x
    x = 29,496,051.61/7,358.16
  6. Step 6: Final answer
    x = 4,008.62

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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.