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Finding the Fourth Proportional to 7,426.37, 11,108.78 and 5,658

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Solution

The fourth proportional to 7,426.37, 11,108.78 and 5,658 is: 8,463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,426.37 : 11,108.78 = 5,658 : x
  2. Step 2: Convert to fraction form
    7,426.37/11,108.78 = 5,658/x
  3. Step 3: Cross multiply
    7,426.37x = 11,108.78 × 5,658
  4. Step 4: Simplify right side
    7,426.37x = 62,853,477.24
  5. Step 5: Solve for x
    x = 62,853,477.24/7,426.37
  6. Step 6: Final answer
    x = 8,463.55

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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.