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Finding the Fourth Proportional to 7,588.32, 11,384.07 and 3,205.80

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Solution

The fourth proportional to 7,588.32, 11,384.07 and 3,205.80 is: 4,809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.32 : 11,384.07 = 3,205.80 : x
  2. Step 2: Convert to fraction form
    7,588.32/11,384.07 = 3,205.80/x
  3. Step 3: Cross multiply
    7,588.32x = 11,384.07 × 3,205.80
  4. Step 4: Simplify right side
    7,588.32x = 36,495,051.61
  5. Step 5: Solve for x
    x = 36,495,051.61/7,588.32
  6. Step 6: Final answer
    x = 4,809.37

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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.