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Finding the Fourth Proportional to 8,361.94, 11,539.32 and 4,585

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Solution

The fourth proportional to 8,361.94, 11,539.32 and 4,585 is: 6,327.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.94 : 11,539.32 = 4,585 : x
  2. Step 2: Convert to fraction form
    8,361.94/11,539.32 = 4,585/x
  3. Step 3: Cross multiply
    8,361.94x = 11,539.32 × 4,585
  4. Step 4: Simplify right side
    8,361.94x = 52,907,782.20
  5. Step 5: Solve for x
    x = 52,907,782.20/8,361.94
  6. Step 6: Final answer
    x = 6,327.21

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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.