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Finding the Fourth Proportional to 10,883.40, 16,315.22 and 3,953

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Solution

The fourth proportional to 10,883.40, 16,315.22 and 3,953 is: 5,925.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.40 : 16,315.22 = 3,953 : x
  2. Step 2: Convert to fraction form
    10,883.40/16,315.22 = 3,953/x
  3. Step 3: Cross multiply
    10,883.40x = 16,315.22 × 3,953
  4. Step 4: Simplify right side
    10,883.40x = 64,494,064.66
  5. Step 5: Solve for x
    x = 64,494,064.66/10,883.40
  6. Step 6: Final answer
    x = 5,925.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.