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Finding the Fourth Proportional to 10,980.30, 15,152.84 and 5,944.56

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Solution

The fourth proportional to 10,980.30, 15,152.84 and 5,944.56 is: 8,203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.30 : 15,152.84 = 5,944.56 : x
  2. Step 2: Convert to fraction form
    10,980.30/15,152.84 = 5,944.56/x
  3. Step 3: Cross multiply
    10,980.30x = 15,152.84 × 5,944.56
  4. Step 4: Simplify right side
    10,980.30x = 90,076,966.55
  5. Step 5: Solve for x
    x = 90,076,966.55/10,980.30
  6. Step 6: Final answer
    x = 8,203.51

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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.