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Finding the Fourth Proportional to 6,143.60, 8,477.16 and 5,832.32

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Solution

The fourth proportional to 6,143.60, 8,477.16 and 5,832.32 is: 8,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.60 : 8,477.16 = 5,832.32 : x
  2. Step 2: Convert to fraction form
    6,143.60/8,477.16 = 5,832.32/x
  3. Step 3: Cross multiply
    6,143.60x = 8,477.16 × 5,832.32
  4. Step 4: Simplify right side
    6,143.60x = 49,441,509.81
  5. Step 5: Solve for x
    x = 49,441,509.81/6,143.60
  6. Step 6: Final answer
    x = 8,047.64

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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.