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Finding the Fourth Proportional to 10,074.14, 13,902.04 and 5,597.74

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Solution

The fourth proportional to 10,074.14, 13,902.04 and 5,597.74 is: 7,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.14 : 13,902.04 = 5,597.74 : x
  2. Step 2: Convert to fraction form
    10,074.14/13,902.04 = 5,597.74/x
  3. Step 3: Cross multiply
    10,074.14x = 13,902.04 × 5,597.74
  4. Step 4: Simplify right side
    10,074.14x = 77,820,005.39
  5. Step 5: Solve for x
    x = 77,820,005.39/10,074.14
  6. Step 6: Final answer
    x = 7,724.73

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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.