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Finding the Fourth Proportional to 7,496.57, 11,243.79 and 4,714.76

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Solution

The fourth proportional to 7,496.57, 11,243.79 and 4,714.76 is: 7,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.57 : 11,243.79 = 4,714.76 : x
  2. Step 2: Convert to fraction form
    7,496.57/11,243.79 = 4,714.76/x
  3. Step 3: Cross multiply
    7,496.57x = 11,243.79 × 4,714.76
  4. Step 4: Simplify right side
    7,496.57x = 53,011,715.12
  5. Step 5: Solve for x
    x = 53,011,715.12/7,496.57
  6. Step 6: Final answer
    x = 7,071.47

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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.