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Finding the Fourth Proportional to 7,588.36, 11,384.08 and 3,205.80

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Solution

The fourth proportional to 7,588.36, 11,384.08 and 3,205.80 is: 4,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.36 : 11,384.08 = 3,205.80 : x
  2. Step 2: Convert to fraction form
    7,588.36/11,384.08 = 3,205.80/x
  3. Step 3: Cross multiply
    7,588.36x = 11,384.08 × 3,205.80
  4. Step 4: Simplify right side
    7,588.36x = 36,495,083.66
  5. Step 5: Solve for x
    x = 36,495,083.66/7,588.36
  6. Step 6: Final answer
    x = 4,809.35

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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.