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Finding the Fourth Proportional to 10,977.59, 15,142.21 and 7,200.97

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Solution

The fourth proportional to 10,977.59, 15,142.21 and 7,200.97 is: 9,932.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.59 : 15,142.21 = 7,200.97 : x
  2. Step 2: Convert to fraction form
    10,977.59/15,142.21 = 7,200.97/x
  3. Step 3: Cross multiply
    10,977.59x = 15,142.21 × 7,200.97
  4. Step 4: Simplify right side
    10,977.59x = 109,038,599.94
  5. Step 5: Solve for x
    x = 109,038,599.94/10,977.59
  6. Step 6: Final answer
    x = 9,932.84

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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.