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Finding the Fourth Proportional to 6,145.29, 8,453.11 and 5,385.31

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Solution

The fourth proportional to 6,145.29, 8,453.11 and 5,385.31 is: 7,407.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.29 : 8,453.11 = 5,385.31 : x
  2. Step 2: Convert to fraction form
    6,145.29/8,453.11 = 5,385.31/x
  3. Step 3: Cross multiply
    6,145.29x = 8,453.11 × 5,385.31
  4. Step 4: Simplify right side
    6,145.29x = 45,522,617.81
  5. Step 5: Solve for x
    x = 45,522,617.81/6,145.29
  6. Step 6: Final answer
    x = 7,407.72

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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.