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Finding the Fourth Proportional to 6,716.32, 10,077.76 and 6,133.12

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Solution

The fourth proportional to 6,716.32, 10,077.76 and 6,133.12 is: 9,202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.32 : 10,077.76 = 6,133.12 : x
  2. Step 2: Convert to fraction form
    6,716.32/10,077.76 = 6,133.12/x
  3. Step 3: Cross multiply
    6,716.32x = 10,077.76 × 6,133.12
  4. Step 4: Simplify right side
    6,716.32x = 61,808,111.41
  5. Step 5: Solve for x
    x = 61,808,111.41/6,716.32
  6. Step 6: Final answer
    x = 9,202.68

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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.