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Finding the Fourth Proportional to 8,256.71, 11,400.51 and 5,074.40

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Solution

The fourth proportional to 8,256.71, 11,400.51 and 5,074.40 is: 7,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.71 : 11,400.51 = 5,074.40 : x
  2. Step 2: Convert to fraction form
    8,256.71/11,400.51 = 5,074.40/x
  3. Step 3: Cross multiply
    8,256.71x = 11,400.51 × 5,074.40
  4. Step 4: Simplify right side
    8,256.71x = 57,850,776.45
  5. Step 5: Solve for x
    x = 57,850,776.45/8,256.71
  6. Step 6: Final answer
    x = 7,006.51

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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.