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Finding the Fourth Proportional to 10,072.80, 13,901.76 and 7,714.08

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Solution

The fourth proportional to 10,072.80, 13,901.76 and 7,714.08 is: 10,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.80 : 13,901.76 = 7,714.08 : x
  2. Step 2: Convert to fraction form
    10,072.80/13,901.76 = 7,714.08/x
  3. Step 3: Cross multiply
    10,072.80x = 13,901.76 × 7,714.08
  4. Step 4: Simplify right side
    10,072.80x = 107,239,288.78
  5. Step 5: Solve for x
    x = 107,239,288.78/10,072.80
  6. Step 6: Final answer
    x = 10,646.42

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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.