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Finding the Fourth Proportional to 11,392.02, 15,716.58 and 8,415

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Solution

The fourth proportional to 11,392.02, 15,716.58 and 8,415 is: 11,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,392.02 : 15,716.58 = 8,415 : x
  2. Step 2: Convert to fraction form
    11,392.02/15,716.58 = 8,415/x
  3. Step 3: Cross multiply
    11,392.02x = 15,716.58 × 8,415
  4. Step 4: Simplify right side
    11,392.02x = 132,255,020.70
  5. Step 5: Solve for x
    x = 132,255,020.70/11,392.02
  6. Step 6: Final answer
    x = 11,609.44

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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.