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Finding the Fourth Proportional to 8,510.40, 11,742.51 and 5,152.56

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Solution

The fourth proportional to 8,510.40, 11,742.51 and 5,152.56 is: 7,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.40 : 11,742.51 = 5,152.56 : x
  2. Step 2: Convert to fraction form
    8,510.40/11,742.51 = 5,152.56/x
  3. Step 3: Cross multiply
    8,510.40x = 11,742.51 × 5,152.56
  4. Step 4: Simplify right side
    8,510.40x = 60,503,987.33
  5. Step 5: Solve for x
    x = 60,503,987.33/8,510.40
  6. Step 6: Final answer
    x = 7,109.42

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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.