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Finding the Fourth Proportional to 7,588.81, 11,384.43 and 3,206.31

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Solution

The fourth proportional to 7,588.81, 11,384.43 and 3,206.31 is: 4,809.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.81 : 11,384.43 = 3,206.31 : x
  2. Step 2: Convert to fraction form
    7,588.81/11,384.43 = 3,206.31/x
  3. Step 3: Cross multiply
    7,588.81x = 11,384.43 × 3,206.31
  4. Step 4: Simplify right side
    7,588.81x = 36,502,011.75
  5. Step 5: Solve for x
    x = 36,502,011.75/7,588.81
  6. Step 6: Final answer
    x = 4,809.98

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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.