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Finding the Fourth Proportional to 7,597.70, 11,400.50 and 5,748.27

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Solution

The fourth proportional to 7,597.70, 11,400.50 and 5,748.27 is: 8,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.70 : 11,400.50 = 5,748.27 : x
  2. Step 2: Convert to fraction form
    7,597.70/11,400.50 = 5,748.27/x
  3. Step 3: Cross multiply
    7,597.70x = 11,400.50 × 5,748.27
  4. Step 4: Simplify right side
    7,597.70x = 65,533,166.51
  5. Step 5: Solve for x
    x = 65,533,166.51/7,597.70
  6. Step 6: Final answer
    x = 8,625.39

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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.