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Finding the Fourth Proportional to 6,113.60, 8,443.64 and 4,132.32

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Solution

The fourth proportional to 6,113.60, 8,443.64 and 4,132.32 is: 5,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.60 : 8,443.64 = 4,132.32 : x
  2. Step 2: Convert to fraction form
    6,113.60/8,443.64 = 4,132.32/x
  3. Step 3: Cross multiply
    6,113.60x = 8,443.64 × 4,132.32
  4. Step 4: Simplify right side
    6,113.60x = 34,891,822.44
  5. Step 5: Solve for x
    x = 34,891,822.44/6,113.60
  6. Step 6: Final answer
    x = 5,707.25

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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.