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Finding the Fourth Proportional to 10,047.34, 13,862.01 and 6,066.94

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Solution

The fourth proportional to 10,047.34, 13,862.01 and 6,066.94 is: 8,370.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.34 : 13,862.01 = 6,066.94 : x
  2. Step 2: Convert to fraction form
    10,047.34/13,862.01 = 6,066.94/x
  3. Step 3: Cross multiply
    10,047.34x = 13,862.01 × 6,066.94
  4. Step 4: Simplify right side
    10,047.34x = 84,099,982.95
  5. Step 5: Solve for x
    x = 84,099,982.95/10,047.34
  6. Step 6: Final answer
    x = 8,370.37

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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.