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Finding the Fourth Proportional to 11,383, 15,708.66 and 6,415

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Solution

The fourth proportional to 11,383, 15,708.66 and 6,415 is: 8,852.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383 : 15,708.66 = 6,415 : x
  2. Step 2: Convert to fraction form
    11,383/15,708.66 = 6,415/x
  3. Step 3: Cross multiply
    11,383x = 15,708.66 × 6,415
  4. Step 4: Simplify right side
    11,383x = 100,771,053.90
  5. Step 5: Solve for x
    x = 100,771,053.90/11,383
  6. Step 6: Final answer
    x = 8,852.77

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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.