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Finding the Fourth Proportional to 10,542.26, 15,883.65 and 9,542.81

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Solution

The fourth proportional to 10,542.26, 15,883.65 and 9,542.81 is: 14,377.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.26 : 15,883.65 = 9,542.81 : x
  2. Step 2: Convert to fraction form
    10,542.26/15,883.65 = 9,542.81/x
  3. Step 3: Cross multiply
    10,542.26x = 15,883.65 × 9,542.81
  4. Step 4: Simplify right side
    10,542.26x = 151,574,574.64
  5. Step 5: Solve for x
    x = 151,574,574.64/10,542.26
  6. Step 6: Final answer
    x = 14,377.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.