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Finding the Fourth Proportional to 8,534.94, 11,777.85 and 4,998.48

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Solution

The fourth proportional to 8,534.94, 11,777.85 and 4,998.48 is: 6,897.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.94 : 11,777.85 = 4,998.48 : x
  2. Step 2: Convert to fraction form
    8,534.94/11,777.85 = 4,998.48/x
  3. Step 3: Cross multiply
    8,534.94x = 11,777.85 × 4,998.48
  4. Step 4: Simplify right side
    8,534.94x = 58,871,347.67
  5. Step 5: Solve for x
    x = 58,871,347.67/8,534.94
  6. Step 6: Final answer
    x = 6,897.69

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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.