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Finding the Fourth Proportional to 8,334.75, 11,505.14 and 5,148.56

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Solution

The fourth proportional to 8,334.75, 11,505.14 and 5,148.56 is: 7,106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334.75 : 11,505.14 = 5,148.56 : x
  2. Step 2: Convert to fraction form
    8,334.75/11,505.14 = 5,148.56/x
  3. Step 3: Cross multiply
    8,334.75x = 11,505.14 × 5,148.56
  4. Step 4: Simplify right side
    8,334.75x = 59,234,925.93
  5. Step 5: Solve for x
    x = 59,234,925.93/8,334.75
  6. Step 6: Final answer
    x = 7,106.98

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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.