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Finding the Fourth Proportional to 10,053.72, 13,873.52 and 5,577.21

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Solution

The fourth proportional to 10,053.72, 13,873.52 and 5,577.21 is: 7,696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.72 : 13,873.52 = 5,577.21 : x
  2. Step 2: Convert to fraction form
    10,053.72/13,873.52 = 5,577.21/x
  3. Step 3: Cross multiply
    10,053.72x = 13,873.52 × 5,577.21
  4. Step 4: Simplify right side
    10,053.72x = 77,375,548.42
  5. Step 5: Solve for x
    x = 77,375,548.42/10,053.72
  6. Step 6: Final answer
    x = 7,696.21

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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.