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Finding the Fourth Proportional to 7,734.24, 11,591.64 and 5,547.24

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Solution

The fourth proportional to 7,734.24, 11,591.64 and 5,547.24 is: 8,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.24 : 11,591.64 = 5,547.24 : x
  2. Step 2: Convert to fraction form
    7,734.24/11,591.64 = 5,547.24/x
  3. Step 3: Cross multiply
    7,734.24x = 11,591.64 × 5,547.24
  4. Step 4: Simplify right side
    7,734.24x = 64,301,609.07
  5. Step 5: Solve for x
    x = 64,301,609.07/7,734.24
  6. Step 6: Final answer
    x = 8,313.89

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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.