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Finding the Fourth Proportional to 11,685.40, 16,125.35 and 6,648.91

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Solution

The fourth proportional to 11,685.40, 16,125.35 and 6,648.91 is: 9,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.40 : 16,125.35 = 6,648.91 : x
  2. Step 2: Convert to fraction form
    11,685.40/16,125.35 = 6,648.91/x
  3. Step 3: Cross multiply
    11,685.40x = 16,125.35 × 6,648.91
  4. Step 4: Simplify right side
    11,685.40x = 107,215,927.31
  5. Step 5: Solve for x
    x = 107,215,927.31/11,685.40
  6. Step 6: Final answer
    x = 9,175.21

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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.