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Finding the Fourth Proportional to 7,497.14, 11,237.16 and 4,568.96

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Solution

The fourth proportional to 7,497.14, 11,237.16 and 4,568.96 is: 6,848.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.14 : 11,237.16 = 4,568.96 : x
  2. Step 2: Convert to fraction form
    7,497.14/11,237.16 = 4,568.96/x
  3. Step 3: Cross multiply
    7,497.14x = 11,237.16 × 4,568.96
  4. Step 4: Simplify right side
    7,497.14x = 51,342,134.55
  5. Step 5: Solve for x
    x = 51,342,134.55/7,497.14
  6. Step 6: Final answer
    x = 6,848.23

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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.