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Finding the Fourth Proportional to 7,631.64, 11,457.18 and 6,484.68

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Solution

The fourth proportional to 7,631.64, 11,457.18 and 6,484.68 is: 9,735.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,631.64 : 11,457.18 = 6,484.68 : x
  2. Step 2: Convert to fraction form
    7,631.64/11,457.18 = 6,484.68/x
  3. Step 3: Cross multiply
    7,631.64x = 11,457.18 × 6,484.68
  4. Step 4: Simplify right side
    7,631.64x = 74,296,146.00
  5. Step 5: Solve for x
    x = 74,296,146.00/7,631.64
  6. Step 6: Final answer
    x = 9,735.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.