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Finding the Fourth Proportional to 8,346.31, 11,526.77 and 5,669.46

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Solution

The fourth proportional to 8,346.31, 11,526.77 and 5,669.46 is: 7,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346.31 : 11,526.77 = 5,669.46 : x
  2. Step 2: Convert to fraction form
    8,346.31/11,526.77 = 5,669.46/x
  3. Step 3: Cross multiply
    8,346.31x = 11,526.77 × 5,669.46
  4. Step 4: Simplify right side
    8,346.31x = 65,350,521.01
  5. Step 5: Solve for x
    x = 65,350,521.01/8,346.31
  6. Step 6: Final answer
    x = 7,829.87

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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.