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Finding the Fourth Proportional to 10,191.54, 14,063.52 and 5,714.28

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Solution

The fourth proportional to 10,191.54, 14,063.52 and 5,714.28 is: 7,885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.54 : 14,063.52 = 5,714.28 : x
  2. Step 2: Convert to fraction form
    10,191.54/14,063.52 = 5,714.28/x
  3. Step 3: Cross multiply
    10,191.54x = 14,063.52 × 5,714.28
  4. Step 4: Simplify right side
    10,191.54x = 80,362,891.07
  5. Step 5: Solve for x
    x = 80,362,891.07/10,191.54
  6. Step 6: Final answer
    x = 7,885.25

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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.