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Finding the Fourth Proportional to 10,036.32, 13,850.23 and 5,560.14

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Solution

The fourth proportional to 10,036.32, 13,850.23 and 5,560.14 is: 7,673.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.32 : 13,850.23 = 5,560.14 : x
  2. Step 2: Convert to fraction form
    10,036.32/13,850.23 = 5,560.14/x
  3. Step 3: Cross multiply
    10,036.32x = 13,850.23 × 5,560.14
  4. Step 4: Simplify right side
    10,036.32x = 77,009,231.73
  5. Step 5: Solve for x
    x = 77,009,231.73/10,036.32
  6. Step 6: Final answer
    x = 7,673.05

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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.