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Finding the Fourth Proportional to 10,119.77, 13,982.42 and 7,281.53

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Solution

The fourth proportional to 10,119.77, 13,982.42 and 7,281.53 is: 10,060.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.77 : 13,982.42 = 7,281.53 : x
  2. Step 2: Convert to fraction form
    10,119.77/13,982.42 = 7,281.53/x
  3. Step 3: Cross multiply
    10,119.77x = 13,982.42 × 7,281.53
  4. Step 4: Simplify right side
    10,119.77x = 101,813,410.70
  5. Step 5: Solve for x
    x = 101,813,410.70/10,119.77
  6. Step 6: Final answer
    x = 10,060.84

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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.