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Finding the Fourth Proportional to 11,097.46, 15,288.43 and 7,734.16

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Solution

The fourth proportional to 11,097.46, 15,288.43 and 7,734.16 is: 10,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.46 : 15,288.43 = 7,734.16 : x
  2. Step 2: Convert to fraction form
    11,097.46/15,288.43 = 7,734.16/x
  3. Step 3: Cross multiply
    11,097.46x = 15,288.43 × 7,734.16
  4. Step 4: Simplify right side
    11,097.46x = 118,243,163.77
  5. Step 5: Solve for x
    x = 118,243,163.77/11,097.46
  6. Step 6: Final answer
    x = 10,654.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.