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Finding the Fourth Proportional to 11,552.32, 17,318.46 and 7,160.10

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Solution

The fourth proportional to 11,552.32, 17,318.46 and 7,160.10 is: 10,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.32 : 17,318.46 = 7,160.10 : x
  2. Step 2: Convert to fraction form
    11,552.32/17,318.46 = 7,160.10/x
  3. Step 3: Cross multiply
    11,552.32x = 17,318.46 × 7,160.10
  4. Step 4: Simplify right side
    11,552.32x = 124,001,905.45
  5. Step 5: Solve for x
    x = 124,001,905.45/11,552.32
  6. Step 6: Final answer
    x = 10,733.94

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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.