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Finding the Fourth Proportional to 10,256.36, 14,152.22 and 5,780.03

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Solution

The fourth proportional to 10,256.36, 14,152.22 and 5,780.03 is: 7,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.36 : 14,152.22 = 5,780.03 : x
  2. Step 2: Convert to fraction form
    10,256.36/14,152.22 = 5,780.03/x
  3. Step 3: Cross multiply
    10,256.36x = 14,152.22 × 5,780.03
  4. Step 4: Simplify right side
    10,256.36x = 81,800,256.17
  5. Step 5: Solve for x
    x = 81,800,256.17/10,256.36
  6. Step 6: Final answer
    x = 7,975.56

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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.