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Finding the Fourth Proportional to 6,285.46, 8,652.16 and 5,434.32

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Solution

The fourth proportional to 6,285.46, 8,652.16 and 5,434.32 is: 7,480.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.46 : 8,652.16 = 5,434.32 : x
  2. Step 2: Convert to fraction form
    6,285.46/8,652.16 = 5,434.32/x
  3. Step 3: Cross multiply
    6,285.46x = 8,652.16 × 5,434.32
  4. Step 4: Simplify right side
    6,285.46x = 47,018,606.13
  5. Step 5: Solve for x
    x = 47,018,606.13/6,285.46
  6. Step 6: Final answer
    x = 7,480.54

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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.