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Finding the Fourth Proportional to 6,165.16, 8,497.68 and 4,370.32

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Solution

The fourth proportional to 6,165.16, 8,497.68 and 4,370.32 is: 6,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.16 : 8,497.68 = 4,370.32 : x
  2. Step 2: Convert to fraction form
    6,165.16/8,497.68 = 4,370.32/x
  3. Step 3: Cross multiply
    6,165.16x = 8,497.68 × 4,370.32
  4. Step 4: Simplify right side
    6,165.16x = 37,137,580.86
  5. Step 5: Solve for x
    x = 37,137,580.86/6,165.16
  6. Step 6: Final answer
    x = 6,023.78

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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.