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Finding the Fourth Proportional to 10,053.98, 13,873.88 and 5,577.45

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Solution

The fourth proportional to 10,053.98, 13,873.88 and 5,577.45 is: 7,696.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.98 : 13,873.88 = 5,577.45 : x
  2. Step 2: Convert to fraction form
    10,053.98/13,873.88 = 5,577.45/x
  3. Step 3: Cross multiply
    10,053.98x = 13,873.88 × 5,577.45
  4. Step 4: Simplify right side
    10,053.98x = 77,380,844.12
  5. Step 5: Solve for x
    x = 77,380,844.12/10,053.98
  6. Step 6: Final answer
    x = 7,696.54

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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.