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Finding the Fourth Proportional to 7,588.08, 11,383.20 and 2,970

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Solution

The fourth proportional to 7,588.08, 11,383.20 and 2,970 is: 4,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.08 : 11,383.20 = 2,970 : x
  2. Step 2: Convert to fraction form
    7,588.08/11,383.20 = 2,970/x
  3. Step 3: Cross multiply
    7,588.08x = 11,383.20 × 2,970
  4. Step 4: Simplify right side
    7,588.08x = 33,808,104
  5. Step 5: Solve for x
    x = 33,808,104/7,588.08
  6. Step 6: Final answer
    x = 4,455.42

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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.