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Finding the Fourth Proportional to 11,375.54, 15,698.01 and 6,340.10

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Solution

The fourth proportional to 11,375.54, 15,698.01 and 6,340.10 is: 8,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.54 : 15,698.01 = 6,340.10 : x
  2. Step 2: Convert to fraction form
    11,375.54/15,698.01 = 6,340.10/x
  3. Step 3: Cross multiply
    11,375.54x = 15,698.01 × 6,340.10
  4. Step 4: Simplify right side
    11,375.54x = 99,526,953.20
  5. Step 5: Solve for x
    x = 99,526,953.20/11,375.54
  6. Step 6: Final answer
    x = 8,749.21

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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.