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Finding the Fourth Proportional to 10,347.37, 14,278.94 and 5,871.02

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Solution

The fourth proportional to 10,347.37, 14,278.94 and 5,871.02 is: 8,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.37 : 14,278.94 = 5,871.02 : x
  2. Step 2: Convert to fraction form
    10,347.37/14,278.94 = 5,871.02/x
  3. Step 3: Cross multiply
    10,347.37x = 14,278.94 × 5,871.02
  4. Step 4: Simplify right side
    10,347.37x = 83,831,965.92
  5. Step 5: Solve for x
    x = 83,831,965.92/10,347.37
  6. Step 6: Final answer
    x = 8,101.77

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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.