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Finding the Fourth Proportional to 7,376.64, 10,189.71 and 6,851.76

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Solution

The fourth proportional to 7,376.64, 10,189.71 and 6,851.76 is: 9,464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,376.64 : 10,189.71 = 6,851.76 : x
  2. Step 2: Convert to fraction form
    7,376.64/10,189.71 = 6,851.76/x
  3. Step 3: Cross multiply
    7,376.64x = 10,189.71 × 6,851.76
  4. Step 4: Simplify right side
    7,376.64x = 69,817,447.39
  5. Step 5: Solve for x
    x = 69,817,447.39/7,376.64
  6. Step 6: Final answer
    x = 9,464.67

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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.