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Finding the Fourth Proportional to 7,390.30, 11,077.95 and 6,311.38

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Solution

The fourth proportional to 7,390.30, 11,077.95 and 6,311.38 is: 9,460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,390.30 : 11,077.95 = 6,311.38 : x
  2. Step 2: Convert to fraction form
    7,390.30/11,077.95 = 6,311.38/x
  3. Step 3: Cross multiply
    7,390.30x = 11,077.95 × 6,311.38
  4. Step 4: Simplify right side
    7,390.30x = 69,917,096.68
  5. Step 5: Solve for x
    x = 69,917,096.68/7,390.30
  6. Step 6: Final answer
    x = 9,460.66

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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.