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Finding the Fourth Proportional to 7,725.60, 11,564.10 and 6,073.20

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Solution

The fourth proportional to 7,725.60, 11,564.10 and 6,073.20 is: 9,090.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.60 : 11,564.10 = 6,073.20 : x
  2. Step 2: Convert to fraction form
    7,725.60/11,564.10 = 6,073.20/x
  3. Step 3: Cross multiply
    7,725.60x = 11,564.10 × 6,073.20
  4. Step 4: Simplify right side
    7,725.60x = 70,231,092.12
  5. Step 5: Solve for x
    x = 70,231,092.12/7,725.60
  6. Step 6: Final answer
    x = 9,090.70

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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.