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Finding the Fourth Proportional to 6,173.37, 8,520.47 and 4,678.68

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Solution

The fourth proportional to 6,173.37, 8,520.47 and 4,678.68 is: 6,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.37 : 8,520.47 = 4,678.68 : x
  2. Step 2: Convert to fraction form
    6,173.37/8,520.47 = 4,678.68/x
  3. Step 3: Cross multiply
    6,173.37x = 8,520.47 × 4,678.68
  4. Step 4: Simplify right side
    6,173.37x = 39,864,529.19
  5. Step 5: Solve for x
    x = 39,864,529.19/6,173.37
  6. Step 6: Final answer
    x = 6,457.50

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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.