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Finding the Fourth Proportional to 7,564.80, 11,317.50 and 4,972.80

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Solution

The fourth proportional to 7,564.80, 11,317.50 and 4,972.80 is: 7,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.80 : 11,317.50 = 4,972.80 : x
  2. Step 2: Convert to fraction form
    7,564.80/11,317.50 = 4,972.80/x
  3. Step 3: Cross multiply
    7,564.80x = 11,317.50 × 4,972.80
  4. Step 4: Simplify right side
    7,564.80x = 56,279,664
  5. Step 5: Solve for x
    x = 56,279,664/7,564.80
  6. Step 6: Final answer
    x = 7,439.68

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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.