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Finding the Fourth Proportional to 10,814.76, 16,196.22 and 6,852.24

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Solution

The fourth proportional to 10,814.76, 16,196.22 and 6,852.24 is: 10,261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.76 : 16,196.22 = 6,852.24 : x
  2. Step 2: Convert to fraction form
    10,814.76/16,196.22 = 6,852.24/x
  3. Step 3: Cross multiply
    10,814.76x = 16,196.22 × 6,852.24
  4. Step 4: Simplify right side
    10,814.76x = 110,980,386.53
  5. Step 5: Solve for x
    x = 110,980,386.53/10,814.76
  6. Step 6: Final answer
    x = 10,261.94

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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.