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Finding the Fourth Proportional to 10,551.40, 14,573.33 and 8,434.27

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Solution

The fourth proportional to 10,551.40, 14,573.33 and 8,434.27 is: 11,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,551.40 : 14,573.33 = 8,434.27 : x
  2. Step 2: Convert to fraction form
    10,551.40/14,573.33 = 8,434.27/x
  3. Step 3: Cross multiply
    10,551.40x = 14,573.33 × 8,434.27
  4. Step 4: Simplify right side
    10,551.40x = 122,915,400.02
  5. Step 5: Solve for x
    x = 122,915,400.02/10,551.40
  6. Step 6: Final answer
    x = 11,649.20

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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.