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Finding the Fourth Proportional to 10,051.49, 13,871.68 and 5,803.33

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Solution

The fourth proportional to 10,051.49, 13,871.68 and 5,803.33 is: 8,008.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.49 : 13,871.68 = 5,803.33 : x
  2. Step 2: Convert to fraction form
    10,051.49/13,871.68 = 5,803.33/x
  3. Step 3: Cross multiply
    10,051.49x = 13,871.68 × 5,803.33
  4. Step 4: Simplify right side
    10,051.49x = 80,501,934.81
  5. Step 5: Solve for x
    x = 80,501,934.81/10,051.49
  6. Step 6: Final answer
    x = 8,008.96

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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.