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Finding the Fourth Proportional to 10,051.40, 13,881.78 and 7,839.56

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Solution

The fourth proportional to 10,051.40, 13,881.78 and 7,839.56 is: 10,827.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.40 : 13,881.78 = 7,839.56 : x
  2. Step 2: Convert to fraction form
    10,051.40/13,881.78 = 7,839.56/x
  3. Step 3: Cross multiply
    10,051.40x = 13,881.78 × 7,839.56
  4. Step 4: Simplify right side
    10,051.40x = 108,827,047.22
  5. Step 5: Solve for x
    x = 108,827,047.22/10,051.40
  6. Step 6: Final answer
    x = 10,827.05

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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.