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Finding the Fourth Proportional to 10,927.60, 16,386 and 5,080.48

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Solution

The fourth proportional to 10,927.60, 16,386 and 5,080.48 is: 7,618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927.60 : 16,386 = 5,080.48 : x
  2. Step 2: Convert to fraction form
    10,927.60/16,386 = 5,080.48/x
  3. Step 3: Cross multiply
    10,927.60x = 16,386 × 5,080.48
  4. Step 4: Simplify right side
    10,927.60x = 83,248,745.28
  5. Step 5: Solve for x
    x = 83,248,745.28/10,927.60
  6. Step 6: Final answer
    x = 7,618.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.