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Finding the Fourth Proportional to 10,056.71, 13,884.36 and 7,814.36

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Solution

The fourth proportional to 10,056.71, 13,884.36 and 7,814.36 is: 10,788.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.71 : 13,884.36 = 7,814.36 : x
  2. Step 2: Convert to fraction form
    10,056.71/13,884.36 = 7,814.36/x
  3. Step 3: Cross multiply
    10,056.71x = 13,884.36 × 7,814.36
  4. Step 4: Simplify right side
    10,056.71x = 108,497,317.99
  5. Step 5: Solve for x
    x = 108,497,317.99/10,056.71
  6. Step 6: Final answer
    x = 10,788.56

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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.