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Finding the Fourth Proportional to 7,588.20, 11,373.20 and 4,956.96

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Solution

The fourth proportional to 7,588.20, 11,373.20 and 4,956.96 is: 7,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.20 : 11,373.20 = 4,956.96 : x
  2. Step 2: Convert to fraction form
    7,588.20/11,373.20 = 4,956.96/x
  3. Step 3: Cross multiply
    7,588.20x = 11,373.20 × 4,956.96
  4. Step 4: Simplify right side
    7,588.20x = 56,376,497.47
  5. Step 5: Solve for x
    x = 56,376,497.47/7,588.20
  6. Step 6: Final answer
    x = 7,429.50

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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.