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Finding the Fourth Proportional to 7,650.95, 10,564.43 and 5,135.31

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Solution

The fourth proportional to 7,650.95, 10,564.43 and 5,135.31 is: 7,090.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.95 : 10,564.43 = 5,135.31 : x
  2. Step 2: Convert to fraction form
    7,650.95/10,564.43 = 5,135.31/x
  3. Step 3: Cross multiply
    7,650.95x = 10,564.43 × 5,135.31
  4. Step 4: Simplify right side
    7,650.95x = 54,251,597.35
  5. Step 5: Solve for x
    x = 54,251,597.35/7,650.95
  6. Step 6: Final answer
    x = 7,090.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.