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Finding the Fourth Proportional to 11,318.40, 15,609.42 and 7,541.46

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Solution

The fourth proportional to 11,318.40, 15,609.42 and 7,541.46 is: 10,400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,318.40 : 15,609.42 = 7,541.46 : x
  2. Step 2: Convert to fraction form
    11,318.40/15,609.42 = 7,541.46/x
  3. Step 3: Cross multiply
    11,318.40x = 15,609.42 × 7,541.46
  4. Step 4: Simplify right side
    11,318.40x = 117,717,816.55
  5. Step 5: Solve for x
    x = 117,717,816.55/11,318.40
  6. Step 6: Final answer
    x = 10,400.57

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